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Finding the Third Proportional to 69,344 and 151,360

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Solution

The third proportional to 69,344 and 151,360 is: 330,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,344 : 151,360 = 151,360 : x
  2. Step 2: Convert to fraction form
    69,344/151,360 = 151,360/x
  3. Step 3: Cross multiply
    69,344x = 151,360 × 151,360
  4. Step 4: Simplify right side
    69,344x = 22,909,849,600
  5. Step 5: Solve for x
    x = 22,909,849,600/69,344
  6. Step 6: Final answer
    x = 330,379.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.