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Finding the Third Proportional to 157,742 and 236,369

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Solution

The third proportional to 157,742 and 236,369 is: 354,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,742 : 236,369 = 236,369 : x
  2. Step 2: Convert to fraction form
    157,742/236,369 = 236,369/x
  3. Step 3: Cross multiply
    157,742x = 236,369 × 236,369
  4. Step 4: Simplify right side
    157,742x = 55,870,304,161
  5. Step 5: Solve for x
    x = 55,870,304,161/157,742
  6. Step 6: Final answer
    x = 354,187.88

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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.