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Finding the Third Proportional to 203,970.38 and 286,727.63

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Solution

The third proportional to 203,970.38 and 286,727.63 is: 403,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,970.38 : 286,727.63 = 286,727.63 : x
  2. Step 2: Convert to fraction form
    203,970.38/286,727.63 = 286,727.63/x
  3. Step 3: Cross multiply
    203,970.38x = 286,727.63 × 286,727.63
  4. Step 4: Simplify right side
    203,970.38x = 82,212,730,938.14
  5. Step 5: Solve for x
    x = 82,212,730,938.14/203,970.38
  6. Step 6: Final answer
    x = 403,062.12

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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.