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Finding the Third Proportional to 160,724.75 and 242,545.25

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Solution

The third proportional to 160,724.75 and 242,545.25 is: 366,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,724.75 : 242,545.25 = 242,545.25 : x
  2. Step 2: Convert to fraction form
    160,724.75/242,545.25 = 242,545.25/x
  3. Step 3: Cross multiply
    160,724.75x = 242,545.25 × 242,545.25
  4. Step 4: Simplify right side
    160,724.75x = 58,828,198,297.56
  5. Step 5: Solve for x
    x = 58,828,198,297.56/160,724.75
  6. Step 6: Final answer
    x = 366,018.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.