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Finding the Third Proportional to 176,698.13 and 417,072.38

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Solution

The third proportional to 176,698.13 and 417,072.38 is: 984,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,698.13 : 417,072.38 = 417,072.38 : x
  2. Step 2: Convert to fraction form
    176,698.13/417,072.38 = 417,072.38/x
  3. Step 3: Cross multiply
    176,698.13x = 417,072.38 × 417,072.38
  4. Step 4: Simplify right side
    176,698.13x = 173,949,365,988.14
  5. Step 5: Solve for x
    x = 173,949,365,988.14/176,698.13
  6. Step 6: Final answer
    x = 984,443.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.