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Finding the Third Proportional to 161,732 and 233,170

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Solution

The third proportional to 161,732 and 233,170 is: 336,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,732 : 233,170 = 233,170 : x
  2. Step 2: Convert to fraction form
    161,732/233,170 = 233,170/x
  3. Step 3: Cross multiply
    161,732x = 233,170 × 233,170
  4. Step 4: Simplify right side
    161,732x = 54,368,248,900
  5. Step 5: Solve for x
    x = 54,368,248,900/161,732
  6. Step 6: Final answer
    x = 336,162.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.