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Finding the Third Proportional to 71,360 and 154,384

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Solution

The third proportional to 71,360 and 154,384 is: 334,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,360 : 154,384 = 154,384 : x
  2. Step 2: Convert to fraction form
    71,360/154,384 = 154,384/x
  3. Step 3: Cross multiply
    71,360x = 154,384 × 154,384
  4. Step 4: Simplify right side
    71,360x = 23,834,419,456
  5. Step 5: Solve for x
    x = 23,834,419,456/71,360
  6. Step 6: Final answer
    x = 334,002.51

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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.