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Finding the Third Proportional to 147,382.50 and 315,795

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Solution

The third proportional to 147,382.50 and 315,795 is: 676,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,382.50 : 315,795 = 315,795 : x
  2. Step 2: Convert to fraction form
    147,382.50/315,795 = 315,795/x
  3. Step 3: Cross multiply
    147,382.50x = 315,795 × 315,795
  4. Step 4: Simplify right side
    147,382.50x = 99,726,482,025
  5. Step 5: Solve for x
    x = 99,726,482,025/147,382.50
  6. Step 6: Final answer
    x = 676,650.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.