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Finding the Third Proportional to 188,829.56 and 288,175.22

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Solution

The third proportional to 188,829.56 and 288,175.22 is: 439,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,829.56 : 288,175.22 = 288,175.22 : x
  2. Step 2: Convert to fraction form
    188,829.56/288,175.22 = 288,175.22/x
  3. Step 3: Cross multiply
    188,829.56x = 288,175.22 × 288,175.22
  4. Step 4: Simplify right side
    188,829.56x = 83,044,956,701.61
  5. Step 5: Solve for x
    x = 83,044,956,701.61/188,829.56
  6. Step 6: Final answer
    x = 439,787.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.