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Finding the Third Proportional to 157,564 and 236,463

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Solution

The third proportional to 157,564 and 236,463 is: 354,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564 : 236,463 = 236,463 : x
  2. Step 2: Convert to fraction form
    157,564/236,463 = 236,463/x
  3. Step 3: Cross multiply
    157,564x = 236,463 × 236,463
  4. Step 4: Simplify right side
    157,564x = 55,914,750,369
  5. Step 5: Solve for x
    x = 55,914,750,369/157,564
  6. Step 6: Final answer
    x = 354,870.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.