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Finding the Third Proportional to 215,491 and 341,051

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Solution

The third proportional to 215,491 and 341,051 is: 539,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,491 : 341,051 = 341,051 : x
  2. Step 2: Convert to fraction form
    215,491/341,051 = 341,051/x
  3. Step 3: Cross multiply
    215,491x = 341,051 × 341,051
  4. Step 4: Simplify right side
    215,491x = 116,315,784,601
  5. Step 5: Solve for x
    x = 116,315,784,601/215,491
  6. Step 6: Final answer
    x = 539,770.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.