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Finding the Third Proportional to 156,629 and 237,130

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Solution

The third proportional to 156,629 and 237,130 is: 359,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,629 : 237,130 = 237,130 : x
  2. Step 2: Convert to fraction form
    156,629/237,130 = 237,130/x
  3. Step 3: Cross multiply
    156,629x = 237,130 × 237,130
  4. Step 4: Simplify right side
    156,629x = 56,230,636,900
  5. Step 5: Solve for x
    x = 56,230,636,900/156,629
  6. Step 6: Final answer
    x = 359,005.27

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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.