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Finding the Third Proportional to 255,600.38 and 396,885.94

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Solution

The third proportional to 255,600.38 and 396,885.94 is: 616,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,600.38 : 396,885.94 = 396,885.94 : x
  2. Step 2: Convert to fraction form
    255,600.38/396,885.94 = 396,885.94/x
  3. Step 3: Cross multiply
    255,600.38x = 396,885.94 × 396,885.94
  4. Step 4: Simplify right side
    255,600.38x = 157,518,447,385.25
  5. Step 5: Solve for x
    x = 157,518,447,385.25/255,600.38
  6. Step 6: Final answer
    x = 616,268.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.