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Finding the Third Proportional to 69,398 and 149,320

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Solution

The third proportional to 69,398 and 149,320 is: 321,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398 : 149,320 = 149,320 : x
  2. Step 2: Convert to fraction form
    69,398/149,320 = 149,320/x
  3. Step 3: Cross multiply
    69,398x = 149,320 × 149,320
  4. Step 4: Simplify right side
    69,398x = 22,296,462,400
  5. Step 5: Solve for x
    x = 22,296,462,400/69,398
  6. Step 6: Final answer
    x = 321,283.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.