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Finding the Third Proportional to 243,012 and 327,139.50

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Solution

The third proportional to 243,012 and 327,139.50 is: 440,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,012 : 327,139.50 = 327,139.50 : x
  2. Step 2: Convert to fraction form
    243,012/327,139.50 = 327,139.50/x
  3. Step 3: Cross multiply
    243,012x = 327,139.50 × 327,139.50
  4. Step 4: Simplify right side
    243,012x = 107,020,252,460.25
  5. Step 5: Solve for x
    x = 107,020,252,460.25/243,012
  6. Step 6: Final answer
    x = 440,390.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.