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Finding the Third Proportional to 157,412 and 236,496

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Solution

The third proportional to 157,412 and 236,496 is: 355,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,412 : 236,496 = 236,496 : x
  2. Step 2: Convert to fraction form
    157,412/236,496 = 236,496/x
  3. Step 3: Cross multiply
    157,412x = 236,496 × 236,496
  4. Step 4: Simplify right side
    157,412x = 55,930,358,016
  5. Step 5: Solve for x
    x = 55,930,358,016/157,412
  6. Step 6: Final answer
    x = 355,311.91

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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.