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Finding the Third Proportional to 103,474.13 and 160,285.50

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Solution

The third proportional to 103,474.13 and 160,285.50 is: 248,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474.13 : 160,285.50 = 160,285.50 : x
  2. Step 2: Convert to fraction form
    103,474.13/160,285.50 = 160,285.50/x
  3. Step 3: Cross multiply
    103,474.13x = 160,285.50 × 160,285.50
  4. Step 4: Simplify right side
    103,474.13x = 25,691,441,510.25
  5. Step 5: Solve for x
    x = 25,691,441,510.25/103,474.13
  6. Step 6: Final answer
    x = 248,288.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.