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Finding the Third Proportional to 176,205.38 and 283,717.69

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Solution

The third proportional to 176,205.38 and 283,717.69 is: 456,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,205.38 : 283,717.69 = 283,717.69 : x
  2. Step 2: Convert to fraction form
    176,205.38/283,717.69 = 283,717.69/x
  3. Step 3: Cross multiply
    176,205.38x = 283,717.69 × 283,717.69
  4. Step 4: Simplify right side
    176,205.38x = 80,495,726,200.35
  5. Step 5: Solve for x
    x = 80,495,726,200.35/176,205.38
  6. Step 6: Final answer
    x = 456,829.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.