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Finding the Third Proportional to 161,626 and 243,669

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Solution

The third proportional to 161,626 and 243,669 is: 367,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,626 : 243,669 = 243,669 : x
  2. Step 2: Convert to fraction form
    161,626/243,669 = 243,669/x
  3. Step 3: Cross multiply
    161,626x = 243,669 × 243,669
  4. Step 4: Simplify right side
    161,626x = 59,374,581,561
  5. Step 5: Solve for x
    x = 59,374,581,561/161,626
  6. Step 6: Final answer
    x = 367,357.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.