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Finding the Third Proportional to 155,527.50 and 220,257

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Solution

The third proportional to 155,527.50 and 220,257 is: 311,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.50 : 220,257 = 220,257 : x
  2. Step 2: Convert to fraction form
    155,527.50/220,257 = 220,257/x
  3. Step 3: Cross multiply
    155,527.50x = 220,257 × 220,257
  4. Step 4: Simplify right side
    155,527.50x = 48,513,146,049
  5. Step 5: Solve for x
    x = 48,513,146,049/155,527.50
  6. Step 6: Final answer
    x = 311,926.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.