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Finding the Third Proportional to 146,998.75 and 207,012.25

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Solution

The third proportional to 146,998.75 and 207,012.25 is: 291,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,998.75 : 207,012.25 = 207,012.25 : x
  2. Step 2: Convert to fraction form
    146,998.75/207,012.25 = 207,012.25/x
  3. Step 3: Cross multiply
    146,998.75x = 207,012.25 × 207,012.25
  4. Step 4: Simplify right side
    146,998.75x = 42,854,071,650.06
  5. Step 5: Solve for x
    x = 42,854,071,650.06/146,998.75
  6. Step 6: Final answer
    x = 291,526.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.