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Finding the Third Proportional to 204,937.59 and 286,581.38

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Solution

The third proportional to 204,937.59 and 286,581.38 is: 400,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,937.59 : 286,581.38 = 286,581.38 : x
  2. Step 2: Convert to fraction form
    204,937.59/286,581.38 = 286,581.38/x
  3. Step 3: Cross multiply
    204,937.59x = 286,581.38 × 286,581.38
  4. Step 4: Simplify right side
    204,937.59x = 82,128,884,496.89
  5. Step 5: Solve for x
    x = 82,128,884,496.89/204,937.59
  6. Step 6: Final answer
    x = 400,750.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.