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Finding the Third Proportional to 239,979 and 342,949.50

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Solution

The third proportional to 239,979 and 342,949.50 is: 490,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,979 : 342,949.50 = 342,949.50 : x
  2. Step 2: Convert to fraction form
    239,979/342,949.50 = 342,949.50/x
  3. Step 3: Cross multiply
    239,979x = 342,949.50 × 342,949.50
  4. Step 4: Simplify right side
    239,979x = 117,614,359,550.25
  5. Step 5: Solve for x
    x = 117,614,359,550.25/239,979
  6. Step 6: Final answer
    x = 490,102.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.