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Finding the Third Proportional to 71,419 and 155,514

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Solution

The third proportional to 71,419 and 155,514 is: 338,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419 : 155,514 = 155,514 : x
  2. Step 2: Convert to fraction form
    71,419/155,514 = 155,514/x
  3. Step 3: Cross multiply
    71,419x = 155,514 × 155,514
  4. Step 4: Simplify right side
    71,419x = 24,184,604,196
  5. Step 5: Solve for x
    x = 24,184,604,196/71,419
  6. Step 6: Final answer
    x = 338,629.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.