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Finding the Third Proportional to 207,118 and 448,088

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Solution

The third proportional to 207,118 and 448,088 is: 969,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,118 : 448,088 = 448,088 : x
  2. Step 2: Convert to fraction form
    207,118/448,088 = 448,088/x
  3. Step 3: Cross multiply
    207,118x = 448,088 × 448,088
  4. Step 4: Simplify right side
    207,118x = 200,782,855,744
  5. Step 5: Solve for x
    x = 200,782,855,744/207,118
  6. Step 6: Final answer
    x = 969,412.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.