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Finding the Third Proportional to 248,432.63 and 536,230.13

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Solution

The third proportional to 248,432.63 and 536,230.13 is: 1,157,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,432.63 : 536,230.13 = 536,230.13 : x
  2. Step 2: Convert to fraction form
    248,432.63/536,230.13 = 536,230.13/x
  3. Step 3: Cross multiply
    248,432.63x = 536,230.13 × 536,230.13
  4. Step 4: Simplify right side
    248,432.63x = 287,542,746,957.52
  5. Step 5: Solve for x
    x = 287,542,746,957.52/248,432.63
  6. Step 6: Final answer
    x = 1,157,427.48

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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.