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Finding the Third Proportional to 157,098 and 237,935

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Solution

The third proportional to 157,098 and 237,935 is: 360,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098 : 237,935 = 237,935 : x
  2. Step 2: Convert to fraction form
    157,098/237,935 = 237,935/x
  3. Step 3: Cross multiply
    157,098x = 237,935 × 237,935
  4. Step 4: Simplify right side
    157,098x = 56,613,064,225
  5. Step 5: Solve for x
    x = 56,613,064,225/157,098
  6. Step 6: Final answer
    x = 360,367.82

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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.