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Finding the Third Proportional to 157,601 and 236,523

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Solution

The third proportional to 157,601 and 236,523 is: 354,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,601 : 236,523 = 236,523 : x
  2. Step 2: Convert to fraction form
    157,601/236,523 = 236,523/x
  3. Step 3: Cross multiply
    157,601x = 236,523 × 236,523
  4. Step 4: Simplify right side
    157,601x = 55,943,129,529
  5. Step 5: Solve for x
    x = 55,943,129,529/157,601
  6. Step 6: Final answer
    x = 354,966.84

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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.