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Finding the Third Proportional to 221,350.50 and 469,301.75

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Solution

The third proportional to 221,350.50 and 469,301.75 is: 995,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,350.50 : 469,301.75 = 469,301.75 : x
  2. Step 2: Convert to fraction form
    221,350.50/469,301.75 = 469,301.75/x
  3. Step 3: Cross multiply
    221,350.50x = 469,301.75 × 469,301.75
  4. Step 4: Simplify right side
    221,350.50x = 220,244,132,553.06
  5. Step 5: Solve for x
    x = 220,244,132,553.06/221,350.50
  6. Step 6: Final answer
    x = 995,001.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.