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Finding the Third Proportional to 174,671.72 and 262,882.13

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Solution

The third proportional to 174,671.72 and 262,882.13 is: 395,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,671.72 : 262,882.13 = 262,882.13 : x
  2. Step 2: Convert to fraction form
    174,671.72/262,882.13 = 262,882.13/x
  3. Step 3: Cross multiply
    174,671.72x = 262,882.13 × 262,882.13
  4. Step 4: Simplify right side
    174,671.72x = 69,107,011,644.52
  5. Step 5: Solve for x
    x = 69,107,011,644.52/174,671.72
  6. Step 6: Final answer
    x = 395,639.39

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