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Finding the Third Proportional to 182,414 and 291,404

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Solution

The third proportional to 182,414 and 291,404 is: 465,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,414 : 291,404 = 291,404 : x
  2. Step 2: Convert to fraction form
    182,414/291,404 = 291,404/x
  3. Step 3: Cross multiply
    182,414x = 291,404 × 291,404
  4. Step 4: Simplify right side
    182,414x = 84,916,291,216
  5. Step 5: Solve for x
    x = 84,916,291,216/182,414
  6. Step 6: Final answer
    x = 465,514.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.