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Finding the Third Proportional to 137,246 and 293,517

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Solution

The third proportional to 137,246 and 293,517 is: 627,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,246 : 293,517 = 293,517 : x
  2. Step 2: Convert to fraction form
    137,246/293,517 = 293,517/x
  3. Step 3: Cross multiply
    137,246x = 293,517 × 293,517
  4. Step 4: Simplify right side
    137,246x = 86,152,229,289
  5. Step 5: Solve for x
    x = 86,152,229,289/137,246
  6. Step 6: Final answer
    x = 627,721.24

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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.