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Finding the Third Proportional to 243,048.75 and 356,364.75

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Solution

The third proportional to 243,048.75 and 356,364.75 is: 522,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,048.75 : 356,364.75 = 356,364.75 : x
  2. Step 2: Convert to fraction form
    243,048.75/356,364.75 = 356,364.75/x
  3. Step 3: Cross multiply
    243,048.75x = 356,364.75 × 356,364.75
  4. Step 4: Simplify right side
    243,048.75x = 126,995,835,042.56
  5. Step 5: Solve for x
    x = 126,995,835,042.56/243,048.75
  6. Step 6: Final answer
    x = 522,511.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.