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Finding the Third Proportional to 157,500 and 237,060

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Solution

The third proportional to 157,500 and 237,060 is: 356,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500 : 237,060 = 237,060 : x
  2. Step 2: Convert to fraction form
    157,500/237,060 = 237,060/x
  3. Step 3: Cross multiply
    157,500x = 237,060 × 237,060
  4. Step 4: Simplify right side
    157,500x = 56,197,443,600
  5. Step 5: Solve for x
    x = 56,197,443,600/157,500
  6. Step 6: Final answer
    x = 356,809.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.