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Finding the Third Proportional to 215,423 and 460,167

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Solution

The third proportional to 215,423 and 460,167 is: 982,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,423 : 460,167 = 460,167 : x
  2. Step 2: Convert to fraction form
    215,423/460,167 = 460,167/x
  3. Step 3: Cross multiply
    215,423x = 460,167 × 460,167
  4. Step 4: Simplify right side
    215,423x = 211,753,667,889
  5. Step 5: Solve for x
    x = 211,753,667,889/215,423
  6. Step 6: Final answer
    x = 982,966.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.