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Finding the Third Proportional to 161,900 and 243,932

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Solution

The third proportional to 161,900 and 243,932 is: 367,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,900 : 243,932 = 243,932 : x
  2. Step 2: Convert to fraction form
    161,900/243,932 = 243,932/x
  3. Step 3: Cross multiply
    161,900x = 243,932 × 243,932
  4. Step 4: Simplify right side
    161,900x = 59,502,820,624
  5. Step 5: Solve for x
    x = 59,502,820,624/161,900
  6. Step 6: Final answer
    x = 367,528.23

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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.