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Finding the Third Proportional to 115,222.50 and 251,548.88

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Solution

The third proportional to 115,222.50 and 251,548.88 is: 549,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,222.50 : 251,548.88 = 251,548.88 : x
  2. Step 2: Convert to fraction form
    115,222.50/251,548.88 = 251,548.88/x
  3. Step 3: Cross multiply
    115,222.50x = 251,548.88 × 251,548.88
  4. Step 4: Simplify right side
    115,222.50x = 63,276,836,513.77
  5. Step 5: Solve for x
    x = 63,276,836,513.77/115,222.50
  6. Step 6: Final answer
    x = 549,170.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.