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Finding the Third Proportional to 176,531.91 and 386,073.84

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Solution

The third proportional to 176,531.91 and 386,073.84 is: 844,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,531.91 : 386,073.84 = 386,073.84 : x
  2. Step 2: Convert to fraction form
    176,531.91/386,073.84 = 386,073.84/x
  3. Step 3: Cross multiply
    176,531.91x = 386,073.84 × 386,073.84
  4. Step 4: Simplify right side
    176,531.91x = 149,053,012,827.90
  5. Step 5: Solve for x
    x = 149,053,012,827.90/176,531.91
  6. Step 6: Final answer
    x = 844,340.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.