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Finding the Third Proportional to 207,382 and 444,138

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Solution

The third proportional to 207,382 and 444,138 is: 951,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,382 : 444,138 = 444,138 : x
  2. Step 2: Convert to fraction form
    207,382/444,138 = 444,138/x
  3. Step 3: Cross multiply
    207,382x = 444,138 × 444,138
  4. Step 4: Simplify right side
    207,382x = 197,258,563,044
  5. Step 5: Solve for x
    x = 197,258,563,044/207,382
  6. Step 6: Final answer
    x = 951,184.59

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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.