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Finding the Third Proportional to 156,632 and 237,134

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Solution

The third proportional to 156,632 and 237,134 is: 359,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,632 : 237,134 = 237,134 : x
  2. Step 2: Convert to fraction form
    156,632/237,134 = 237,134/x
  3. Step 3: Cross multiply
    156,632x = 237,134 × 237,134
  4. Step 4: Simplify right side
    156,632x = 56,232,533,956
  5. Step 5: Solve for x
    x = 56,232,533,956/156,632
  6. Step 6: Final answer
    x = 359,010.51

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Why These Related Problems?

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