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Finding the Third Proportional to 207,390 and 444,154

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Solution

The third proportional to 207,390 and 444,154 is: 951,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,390 : 444,154 = 444,154 : x
  2. Step 2: Convert to fraction form
    207,390/444,154 = 444,154/x
  3. Step 3: Cross multiply
    207,390x = 444,154 × 444,154
  4. Step 4: Simplify right side
    207,390x = 197,272,775,716
  5. Step 5: Solve for x
    x = 197,272,775,716/207,390
  6. Step 6: Final answer
    x = 951,216.43

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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.