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Finding the Third Proportional to 261,320.25 and 368,007.75

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Solution

The third proportional to 261,320.25 and 368,007.75 is: 518,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,320.25 : 368,007.75 = 368,007.75 : x
  2. Step 2: Convert to fraction form
    261,320.25/368,007.75 = 368,007.75/x
  3. Step 3: Cross multiply
    261,320.25x = 368,007.75 × 368,007.75
  4. Step 4: Simplify right side
    261,320.25x = 135,429,704,060.06
  5. Step 5: Solve for x
    x = 135,429,704,060.06/261,320.25
  6. Step 6: Final answer
    x = 518,251.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.