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Finding the Third Proportional to 146,084.77 and 303,856.31

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Solution

The third proportional to 146,084.77 and 303,856.31 is: 632,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,084.77 : 303,856.31 = 303,856.31 : x
  2. Step 2: Convert to fraction form
    146,084.77/303,856.31 = 303,856.31/x
  3. Step 3: Cross multiply
    146,084.77x = 303,856.31 × 303,856.31
  4. Step 4: Simplify right side
    146,084.77x = 92,328,658,646.10
  5. Step 5: Solve for x
    x = 92,328,658,646.10/146,084.77
  6. Step 6: Final answer
    x = 632,021.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.