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Finding the Third Proportional to 214,638 and 466,151

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Solution

The third proportional to 214,638 and 466,151 is: 1,012,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638 : 466,151 = 466,151 : x
  2. Step 2: Convert to fraction form
    214,638/466,151 = 466,151/x
  3. Step 3: Cross multiply
    214,638x = 466,151 × 466,151
  4. Step 4: Simplify right side
    214,638x = 217,296,754,801
  5. Step 5: Solve for x
    x = 217,296,754,801/214,638
  6. Step 6: Final answer
    x = 1,012,387.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.