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Finding the Third Proportional to 204,001.88 and 438,108.75

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Solution

The third proportional to 204,001.88 and 438,108.75 is: 940,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,001.88 : 438,108.75 = 438,108.75 : x
  2. Step 2: Convert to fraction form
    204,001.88/438,108.75 = 438,108.75/x
  3. Step 3: Cross multiply
    204,001.88x = 438,108.75 × 438,108.75
  4. Step 4: Simplify right side
    204,001.88x = 191,939,276,826.56
  5. Step 5: Solve for x
    x = 191,939,276,826.56/204,001.88
  6. Step 6: Final answer
    x = 940,870.16

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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.