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Finding the Third Proportional to 134,464 and 286,591

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Solution

The third proportional to 134,464 and 286,591 is: 610,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464 : 286,591 = 286,591 : x
  2. Step 2: Convert to fraction form
    134,464/286,591 = 286,591/x
  3. Step 3: Cross multiply
    134,464x = 286,591 × 286,591
  4. Step 4: Simplify right side
    134,464x = 82,134,401,281
  5. Step 5: Solve for x
    x = 82,134,401,281/134,464
  6. Step 6: Final answer
    x = 610,828.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.