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Finding the Third Proportional to 252,648.98 and 381,606.05

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Solution

The third proportional to 252,648.98 and 381,606.05 is: 576,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,648.98 : 381,606.05 = 381,606.05 : x
  2. Step 2: Convert to fraction form
    252,648.98/381,606.05 = 381,606.05/x
  3. Step 3: Cross multiply
    252,648.98x = 381,606.05 × 381,606.05
  4. Step 4: Simplify right side
    252,648.98x = 145,623,175,011.57
  5. Step 5: Solve for x
    x = 145,623,175,011.57/252,648.98
  6. Step 6: Final answer
    x = 576,385.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.