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Finding the Third Proportional to 115,574.25 and 248,335.50

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Solution

The third proportional to 115,574.25 and 248,335.50 is: 533,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,574.25 : 248,335.50 = 248,335.50 : x
  2. Step 2: Convert to fraction form
    115,574.25/248,335.50 = 248,335.50/x
  3. Step 3: Cross multiply
    115,574.25x = 248,335.50 × 248,335.50
  4. Step 4: Simplify right side
    115,574.25x = 61,670,520,560.25
  5. Step 5: Solve for x
    x = 61,670,520,560.25/115,574.25
  6. Step 6: Final answer
    x = 533,600.87

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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.