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Finding the Third Proportional to 199,656 and 432,997.50

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Solution

The third proportional to 199,656 and 432,997.50 is: 939,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,656 : 432,997.50 = 432,997.50 : x
  2. Step 2: Convert to fraction form
    199,656/432,997.50 = 432,997.50/x
  3. Step 3: Cross multiply
    199,656x = 432,997.50 × 432,997.50
  4. Step 4: Simplify right side
    199,656x = 187,486,835,006.25
  5. Step 5: Solve for x
    x = 187,486,835,006.25/199,656
  6. Step 6: Final answer
    x = 939,049.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.