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Finding the Third Proportional to 115,872.50 and 253,836.50

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Solution

The third proportional to 115,872.50 and 253,836.50 is: 556,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,872.50 : 253,836.50 = 253,836.50 : x
  2. Step 2: Convert to fraction form
    115,872.50/253,836.50 = 253,836.50/x
  3. Step 3: Cross multiply
    115,872.50x = 253,836.50 × 253,836.50
  4. Step 4: Simplify right side
    115,872.50x = 64,432,968,732.25
  5. Step 5: Solve for x
    x = 64,432,968,732.25/115,872.50
  6. Step 6: Final answer
    x = 556,067.82

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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.