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Finding the Third Proportional to 175,114.69 and 262,671.75

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Solution

The third proportional to 175,114.69 and 262,671.75 is: 394,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,114.69 : 262,671.75 = 262,671.75 : x
  2. Step 2: Convert to fraction form
    175,114.69/262,671.75 = 262,671.75/x
  3. Step 3: Cross multiply
    175,114.69x = 262,671.75 × 262,671.75
  4. Step 4: Simplify right side
    175,114.69x = 68,996,448,248.06
  5. Step 5: Solve for x
    x = 68,996,448,248.06/175,114.69
  6. Step 6: Final answer
    x = 394,007.20

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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.