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Finding the Third Proportional to 157,071 and 234,972

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Solution

The third proportional to 157,071 and 234,972 is: 351,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,071 : 234,972 = 234,972 : x
  2. Step 2: Convert to fraction form
    157,071/234,972 = 234,972/x
  3. Step 3: Cross multiply
    157,071x = 234,972 × 234,972
  4. Step 4: Simplify right side
    157,071x = 55,211,840,784
  5. Step 5: Solve for x
    x = 55,211,840,784/157,071
  6. Step 6: Final answer
    x = 351,508.81

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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.