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Finding the Third Proportional to 155,499 and 220,216.50

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Solution

The third proportional to 155,499 and 220,216.50 is: 311,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,499 : 220,216.50 = 220,216.50 : x
  2. Step 2: Convert to fraction form
    155,499/220,216.50 = 220,216.50/x
  3. Step 3: Cross multiply
    155,499x = 220,216.50 × 220,216.50
  4. Step 4: Simplify right side
    155,499x = 48,495,306,872.25
  5. Step 5: Solve for x
    x = 48,495,306,872.25/155,499
  6. Step 6: Final answer
    x = 311,868.93

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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.