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Finding the Third Proportional to 115,052.91 and 247,184.16

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Solution

The third proportional to 115,052.91 and 247,184.16 is: 531,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,052.91 : 247,184.16 = 247,184.16 : x
  2. Step 2: Convert to fraction form
    115,052.91/247,184.16 = 247,184.16/x
  3. Step 3: Cross multiply
    115,052.91x = 247,184.16 × 247,184.16
  4. Step 4: Simplify right side
    115,052.91x = 61,100,007,101.02
  5. Step 5: Solve for x
    x = 61,100,007,101.02/115,052.91
  6. Step 6: Final answer
    x = 531,060.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.