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Finding the Third Proportional to 118,377 and 260,082

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Solution

The third proportional to 118,377 and 260,082 is: 571,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,377 : 260,082 = 260,082 : x
  2. Step 2: Convert to fraction form
    118,377/260,082 = 260,082/x
  3. Step 3: Cross multiply
    118,377x = 260,082 × 260,082
  4. Step 4: Simplify right side
    118,377x = 67,642,646,724
  5. Step 5: Solve for x
    x = 67,642,646,724/118,377
  6. Step 6: Final answer
    x = 571,417.14

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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.