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Finding the Third Proportional to 176,340.38 and 384,149.25

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Solution

The third proportional to 176,340.38 and 384,149.25 is: 836,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,340.38 : 384,149.25 = 384,149.25 : x
  2. Step 2: Convert to fraction form
    176,340.38/384,149.25 = 384,149.25/x
  3. Step 3: Cross multiply
    176,340.38x = 384,149.25 × 384,149.25
  4. Step 4: Simplify right side
    176,340.38x = 147,570,646,275.56
  5. Step 5: Solve for x
    x = 147,570,646,275.56/176,340.38
  6. Step 6: Final answer
    x = 836,851.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.