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Finding the Third Proportional to 157,564 and 233,872

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Solution

The third proportional to 157,564 and 233,872 is: 347,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564 : 233,872 = 233,872 : x
  2. Step 2: Convert to fraction form
    157,564/233,872 = 233,872/x
  3. Step 3: Cross multiply
    157,564x = 233,872 × 233,872
  4. Step 4: Simplify right side
    157,564x = 54,696,112,384
  5. Step 5: Solve for x
    x = 54,696,112,384/157,564
  6. Step 6: Final answer
    x = 347,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.