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Finding the Third Proportional to 152,508 and 220,014

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Solution

The third proportional to 152,508 and 220,014 is: 317,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,508 : 220,014 = 220,014 : x
  2. Step 2: Convert to fraction form
    152,508/220,014 = 220,014/x
  3. Step 3: Cross multiply
    152,508x = 220,014 × 220,014
  4. Step 4: Simplify right side
    152,508x = 48,406,160,196
  5. Step 5: Solve for x
    x = 48,406,160,196/152,508
  6. Step 6: Final answer
    x = 317,400.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.