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Finding the Third Proportional to 207,154 and 448,868

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Solution

The third proportional to 207,154 and 448,868 is: 972,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,154 : 448,868 = 448,868 : x
  2. Step 2: Convert to fraction form
    207,154/448,868 = 448,868/x
  3. Step 3: Cross multiply
    207,154x = 448,868 × 448,868
  4. Step 4: Simplify right side
    207,154x = 201,482,481,424
  5. Step 5: Solve for x
    x = 201,482,481,424/207,154
  6. Step 6: Final answer
    x = 972,621.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.