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Finding the Third Proportional to 218,695.50 and 337,353.75

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Solution

The third proportional to 218,695.50 and 337,353.75 is: 520,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,695.50 : 337,353.75 = 337,353.75 : x
  2. Step 2: Convert to fraction form
    218,695.50/337,353.75 = 337,353.75/x
  3. Step 3: Cross multiply
    218,695.50x = 337,353.75 × 337,353.75
  4. Step 4: Simplify right side
    218,695.50x = 113,807,552,639.06
  5. Step 5: Solve for x
    x = 113,807,552,639.06/218,695.50
  6. Step 6: Final answer
    x = 520,392.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.