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Finding the Third Proportional to 172,590 and 233,181

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Solution

The third proportional to 172,590 and 233,181 is: 315,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,590 : 233,181 = 233,181 : x
  2. Step 2: Convert to fraction form
    172,590/233,181 = 233,181/x
  3. Step 3: Cross multiply
    172,590x = 233,181 × 233,181
  4. Step 4: Simplify right side
    172,590x = 54,373,378,761
  5. Step 5: Solve for x
    x = 54,373,378,761/172,590
  6. Step 6: Final answer
    x = 315,043.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.