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Finding the Third Proportional to 117,156 and 257,632

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Solution

The third proportional to 117,156 and 257,632 is: 566,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,156 : 257,632 = 257,632 : x
  2. Step 2: Convert to fraction form
    117,156/257,632 = 257,632/x
  3. Step 3: Cross multiply
    117,156x = 257,632 × 257,632
  4. Step 4: Simplify right side
    117,156x = 66,374,247,424
  5. Step 5: Solve for x
    x = 66,374,247,424/117,156
  6. Step 6: Final answer
    x = 566,545.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.