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Finding the Third Proportional to 137,466 and 291,213

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Solution

The third proportional to 137,466 and 291,213 is: 616,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,466 : 291,213 = 291,213 : x
  2. Step 2: Convert to fraction form
    137,466/291,213 = 291,213/x
  3. Step 3: Cross multiply
    137,466x = 291,213 × 291,213
  4. Step 4: Simplify right side
    137,466x = 84,805,011,369
  5. Step 5: Solve for x
    x = 84,805,011,369/137,466
  6. Step 6: Final answer
    x = 616,916.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.