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Finding the Third Proportional to 234,471.38 and 363,291.75

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Solution

The third proportional to 234,471.38 and 363,291.75 is: 562,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,471.38 : 363,291.75 = 363,291.75 : x
  2. Step 2: Convert to fraction form
    234,471.38/363,291.75 = 363,291.75/x
  3. Step 3: Cross multiply
    234,471.38x = 363,291.75 × 363,291.75
  4. Step 4: Simplify right side
    234,471.38x = 131,980,895,618.06
  5. Step 5: Solve for x
    x = 131,980,895,618.06/234,471.38
  6. Step 6: Final answer
    x = 562,887.03

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