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Finding the Third Proportional to 175,114.13 and 262,671.19

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Solution

The third proportional to 175,114.13 and 262,671.19 is: 394,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,114.13 : 262,671.19 = 262,671.19 : x
  2. Step 2: Convert to fraction form
    175,114.13/262,671.19 = 262,671.19/x
  3. Step 3: Cross multiply
    175,114.13x = 262,671.19 × 262,671.19
  4. Step 4: Simplify right side
    175,114.13x = 68,996,152,742.66
  5. Step 5: Solve for x
    x = 68,996,152,742.66/175,114.13
  6. Step 6: Final answer
    x = 394,006.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.