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Finding the Third Proportional to 181,908 and 252,603

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Solution

The third proportional to 181,908 and 252,603 is: 350,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,908 : 252,603 = 252,603 : x
  2. Step 2: Convert to fraction form
    181,908/252,603 = 252,603/x
  3. Step 3: Cross multiply
    181,908x = 252,603 × 252,603
  4. Step 4: Simplify right side
    181,908x = 63,808,275,609
  5. Step 5: Solve for x
    x = 63,808,275,609/181,908
  6. Step 6: Final answer
    x = 350,772.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.