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Finding the Third Proportional to 206,937 and 441,373.50

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Solution

The third proportional to 206,937 and 441,373.50 is: 941,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,937 : 441,373.50 = 441,373.50 : x
  2. Step 2: Convert to fraction form
    206,937/441,373.50 = 441,373.50/x
  3. Step 3: Cross multiply
    206,937x = 441,373.50 × 441,373.50
  4. Step 4: Simplify right side
    206,937x = 194,810,566,502.25
  5. Step 5: Solve for x
    x = 194,810,566,502.25/206,937
  6. Step 6: Final answer
    x = 941,400.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.