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Finding the Third Proportional to 255,434.50 and 386,697.75

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Solution

The third proportional to 255,434.50 and 386,697.75 is: 585,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,434.50 : 386,697.75 = 386,697.75 : x
  2. Step 2: Convert to fraction form
    255,434.50/386,697.75 = 386,697.75/x
  3. Step 3: Cross multiply
    255,434.50x = 386,697.75 × 386,697.75
  4. Step 4: Simplify right side
    255,434.50x = 149,535,149,855.06
  5. Step 5: Solve for x
    x = 149,535,149,855.06/255,434.50
  6. Step 6: Final answer
    x = 585,414.85

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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.