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Finding the Third Proportional to 221,017.50 and 337,869

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Solution

The third proportional to 221,017.50 and 337,869 is: 516,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,017.50 : 337,869 = 337,869 : x
  2. Step 2: Convert to fraction form
    221,017.50/337,869 = 337,869/x
  3. Step 3: Cross multiply
    221,017.50x = 337,869 × 337,869
  4. Step 4: Simplify right side
    221,017.50x = 114,155,461,161
  5. Step 5: Solve for x
    x = 114,155,461,161/221,017.50
  6. Step 6: Final answer
    x = 516,499.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.