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Finding the Third Proportional to 137,214 and 296,298

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Solution

The third proportional to 137,214 and 296,298 is: 639,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,214 : 296,298 = 296,298 : x
  2. Step 2: Convert to fraction form
    137,214/296,298 = 296,298/x
  3. Step 3: Cross multiply
    137,214x = 296,298 × 296,298
  4. Step 4: Simplify right side
    137,214x = 87,792,504,804
  5. Step 5: Solve for x
    x = 87,792,504,804/137,214
  6. Step 6: Final answer
    x = 639,821.77

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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.