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Finding the Third Proportional to 70,584 and 151,400

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Solution

The third proportional to 70,584 and 151,400 is: 324,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584 : 151,400 = 151,400 : x
  2. Step 2: Convert to fraction form
    70,584/151,400 = 151,400/x
  3. Step 3: Cross multiply
    70,584x = 151,400 × 151,400
  4. Step 4: Simplify right side
    70,584x = 22,921,960,000
  5. Step 5: Solve for x
    x = 22,921,960,000/70,584
  6. Step 6: Final answer
    x = 324,747.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.