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Finding the Third Proportional to 137,464 and 292,302

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Solution

The third proportional to 137,464 and 292,302 is: 621,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,464 : 292,302 = 292,302 : x
  2. Step 2: Convert to fraction form
    137,464/292,302 = 292,302/x
  3. Step 3: Cross multiply
    137,464x = 292,302 × 292,302
  4. Step 4: Simplify right side
    137,464x = 85,440,459,204
  5. Step 5: Solve for x
    x = 85,440,459,204/137,464
  6. Step 6: Final answer
    x = 621,547.89

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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.