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Finding the Third Proportional to 247,115.50 and 542,345

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Solution

The third proportional to 247,115.50 and 542,345 is: 1,190,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,115.50 : 542,345 = 542,345 : x
  2. Step 2: Convert to fraction form
    247,115.50/542,345 = 542,345/x
  3. Step 3: Cross multiply
    247,115.50x = 542,345 × 542,345
  4. Step 4: Simplify right side
    247,115.50x = 294,138,099,025
  5. Step 5: Solve for x
    x = 294,138,099,025/247,115.50
  6. Step 6: Final answer
    x = 1,190,285.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.