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Finding the Third Proportional to 156,629 and 237,129

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Solution

The third proportional to 156,629 and 237,129 is: 359,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,629 : 237,129 = 237,129 : x
  2. Step 2: Convert to fraction form
    156,629/237,129 = 237,129/x
  3. Step 3: Cross multiply
    156,629x = 237,129 × 237,129
  4. Step 4: Simplify right side
    156,629x = 56,230,162,641
  5. Step 5: Solve for x
    x = 56,230,162,641/156,629
  6. Step 6: Final answer
    x = 359,002.25

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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.