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Finding the Third Proportional to 172,602.75 and 233,197.13

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Solution

The third proportional to 172,602.75 and 233,197.13 is: 315,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,602.75 : 233,197.13 = 233,197.13 : x
  2. Step 2: Convert to fraction form
    172,602.75/233,197.13 = 233,197.13/x
  3. Step 3: Cross multiply
    172,602.75x = 233,197.13 × 233,197.13
  4. Step 4: Simplify right side
    172,602.75x = 54,380,899,108.27
  5. Step 5: Solve for x
    x = 54,380,899,108.27/172,602.75
  6. Step 6: Final answer
    x = 315,063.92

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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.