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Finding the Third Proportional to 137,247 and 293,519

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Solution

The third proportional to 137,247 and 293,519 is: 627,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,247 : 293,519 = 293,519 : x
  2. Step 2: Convert to fraction form
    137,247/293,519 = 293,519/x
  3. Step 3: Cross multiply
    137,247x = 293,519 × 293,519
  4. Step 4: Simplify right side
    137,247x = 86,153,403,361
  5. Step 5: Solve for x
    x = 86,153,403,361/137,247
  6. Step 6: Final answer
    x = 627,725.22

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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.