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Finding the Third Proportional to 172,620 and 233,223

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Solution

The third proportional to 172,620 and 233,223 is: 315,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,620 : 233,223 = 233,223 : x
  2. Step 2: Convert to fraction form
    172,620/233,223 = 233,223/x
  3. Step 3: Cross multiply
    172,620x = 233,223 × 233,223
  4. Step 4: Simplify right side
    172,620x = 54,392,967,729
  5. Step 5: Solve for x
    x = 54,392,967,729/172,620
  6. Step 6: Final answer
    x = 315,102.35

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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.