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Finding the Third Proportional to 67,898 and 149,332

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Solution

The third proportional to 67,898 and 149,332 is: 328,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,898 : 149,332 = 149,332 : x
  2. Step 2: Convert to fraction form
    67,898/149,332 = 149,332/x
  3. Step 3: Cross multiply
    67,898x = 149,332 × 149,332
  4. Step 4: Simplify right side
    67,898x = 22,300,046,224
  5. Step 5: Solve for x
    x = 22,300,046,224/67,898
  6. Step 6: Final answer
    x = 328,434.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.