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Finding the Third Proportional to 207,864 and 444,159

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Solution

The third proportional to 207,864 and 444,159 is: 949,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,864 : 444,159 = 444,159 : x
  2. Step 2: Convert to fraction form
    207,864/444,159 = 444,159/x
  3. Step 3: Cross multiply
    207,864x = 444,159 × 444,159
  4. Step 4: Simplify right side
    207,864x = 197,277,217,281
  5. Step 5: Solve for x
    x = 197,277,217,281/207,864
  6. Step 6: Final answer
    x = 949,068.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.