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Finding the Third Proportional to 248,432.91 and 536,209.03

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Solution

The third proportional to 248,432.91 and 536,209.03 is: 1,157,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,432.91 : 536,209.03 = 536,209.03 : x
  2. Step 2: Convert to fraction form
    248,432.91/536,209.03 = 536,209.03/x
  3. Step 3: Cross multiply
    248,432.91x = 536,209.03 × 536,209.03
  4. Step 4: Simplify right side
    248,432.91x = 287,520,125,194.06
  5. Step 5: Solve for x
    x = 287,520,125,194.06/248,432.91
  6. Step 6: Final answer
    x = 1,157,335.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.