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Finding the Third Proportional to 176,017.50 and 378,568.13

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Solution

The third proportional to 176,017.50 and 378,568.13 is: 814,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,017.50 : 378,568.13 = 378,568.13 : x
  2. Step 2: Convert to fraction form
    176,017.50/378,568.13 = 378,568.13/x
  3. Step 3: Cross multiply
    176,017.50x = 378,568.13 × 378,568.13
  4. Step 4: Simplify right side
    176,017.50x = 143,313,825,266.02
  5. Step 5: Solve for x
    x = 143,313,825,266.02/176,017.50
  6. Step 6: Final answer
    x = 814,202.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.