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Finding the Third Proportional to 203,713.13 and 322,498.88

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Solution

The third proportional to 203,713.13 and 322,498.88 is: 510,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,713.13 : 322,498.88 = 322,498.88 : x
  2. Step 2: Convert to fraction form
    203,713.13/322,498.88 = 322,498.88/x
  3. Step 3: Cross multiply
    203,713.13x = 322,498.88 × 322,498.88
  4. Step 4: Simplify right side
    203,713.13x = 104,005,524,376.27
  5. Step 5: Solve for x
    x = 104,005,524,376.27/203,713.13
  6. Step 6: Final answer
    x = 510,548.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.