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Finding the Third Proportional to 172,602 and 233,199

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Solution

The third proportional to 172,602 and 233,199 is: 315,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,602 : 233,199 = 233,199 : x
  2. Step 2: Convert to fraction form
    172,602/233,199 = 233,199/x
  3. Step 3: Cross multiply
    172,602x = 233,199 × 233,199
  4. Step 4: Simplify right side
    172,602x = 54,381,773,601
  5. Step 5: Solve for x
    x = 54,381,773,601/172,602
  6. Step 6: Final answer
    x = 315,070.36

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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.