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Finding the Third Proportional to 243,348 and 532,507.50

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Solution

The third proportional to 243,348 and 532,507.50 is: 1,165,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,348 : 532,507.50 = 532,507.50 : x
  2. Step 2: Convert to fraction form
    243,348/532,507.50 = 532,507.50/x
  3. Step 3: Cross multiply
    243,348x = 532,507.50 × 532,507.50
  4. Step 4: Simplify right side
    243,348x = 283,564,237,556.25
  5. Step 5: Solve for x
    x = 283,564,237,556.25/243,348
  6. Step 6: Final answer
    x = 1,165,262.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.