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Finding the Third Proportional to 206,340.75 and 437,521.50

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Solution

The third proportional to 206,340.75 and 437,521.50 is: 927,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,340.75 : 437,521.50 = 437,521.50 : x
  2. Step 2: Convert to fraction form
    206,340.75/437,521.50 = 437,521.50/x
  3. Step 3: Cross multiply
    206,340.75x = 437,521.50 × 437,521.50
  4. Step 4: Simplify right side
    206,340.75x = 191,425,062,962.25
  5. Step 5: Solve for x
    x = 191,425,062,962.25/206,340.75
  6. Step 6: Final answer
    x = 927,713.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.