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Finding the Third Proportional to 172,603 and 233,197.50

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Solution

The third proportional to 172,603 and 233,197.50 is: 315,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,603 : 233,197.50 = 233,197.50 : x
  2. Step 2: Convert to fraction form
    172,603/233,197.50 = 233,197.50/x
  3. Step 3: Cross multiply
    172,603x = 233,197.50 × 233,197.50
  4. Step 4: Simplify right side
    172,603x = 54,381,074,006.25
  5. Step 5: Solve for x
    x = 54,381,074,006.25/172,603
  6. Step 6: Final answer
    x = 315,064.48

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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.