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Finding the Third Proportional to 137,282 and 296,771

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Solution

The third proportional to 137,282 and 296,771 is: 641,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,282 : 296,771 = 296,771 : x
  2. Step 2: Convert to fraction form
    137,282/296,771 = 296,771/x
  3. Step 3: Cross multiply
    137,282x = 296,771 × 296,771
  4. Step 4: Simplify right side
    137,282x = 88,073,026,441
  5. Step 5: Solve for x
    x = 88,073,026,441/137,282
  6. Step 6: Final answer
    x = 641,548.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.