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Finding the Third Proportional to 137,284 and 207,374

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Solution

The third proportional to 137,284 and 207,374 is: 313,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,284 : 207,374 = 207,374 : x
  2. Step 2: Convert to fraction form
    137,284/207,374 = 207,374/x
  3. Step 3: Cross multiply
    137,284x = 207,374 × 207,374
  4. Step 4: Simplify right side
    137,284x = 43,003,975,876
  5. Step 5: Solve for x
    x = 43,003,975,876/137,284
  6. Step 6: Final answer
    x = 313,248.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.