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Finding the Third Proportional to 207,096 and 444,072

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Solution

The third proportional to 207,096 and 444,072 is: 952,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,096 : 444,072 = 444,072 : x
  2. Step 2: Convert to fraction form
    207,096/444,072 = 444,072/x
  3. Step 3: Cross multiply
    207,096x = 444,072 × 444,072
  4. Step 4: Simplify right side
    207,096x = 197,199,941,184
  5. Step 5: Solve for x
    x = 197,199,941,184/207,096
  6. Step 6: Final answer
    x = 952,215.11

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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.