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Finding the Third Proportional to 232,278.38 and 367,114.13

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Solution

The third proportional to 232,278.38 and 367,114.13 is: 580,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,278.38 : 367,114.13 = 367,114.13 : x
  2. Step 2: Convert to fraction form
    232,278.38/367,114.13 = 367,114.13/x
  3. Step 3: Cross multiply
    232,278.38x = 367,114.13 × 367,114.13
  4. Step 4: Simplify right side
    232,278.38x = 134,772,780,774.52
  5. Step 5: Solve for x
    x = 134,772,780,774.52/232,278.38
  6. Step 6: Final answer
    x = 580,220.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.