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Finding the Third Proportional to 232,735 and 355,872

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Solution

The third proportional to 232,735 and 355,872 is: 544,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,735 : 355,872 = 355,872 : x
  2. Step 2: Convert to fraction form
    232,735/355,872 = 355,872/x
  3. Step 3: Cross multiply
    232,735x = 355,872 × 355,872
  4. Step 4: Simplify right side
    232,735x = 126,644,880,384
  5. Step 5: Solve for x
    x = 126,644,880,384/232,735
  6. Step 6: Final answer
    x = 544,159.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.