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Finding the Third Proportional to 197,508 and 437,722.50

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Solution

The third proportional to 197,508 and 437,722.50 is: 970,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,508 : 437,722.50 = 437,722.50 : x
  2. Step 2: Convert to fraction form
    197,508/437,722.50 = 437,722.50/x
  3. Step 3: Cross multiply
    197,508x = 437,722.50 × 437,722.50
  4. Step 4: Simplify right side
    197,508x = 191,600,987,006.25
  5. Step 5: Solve for x
    x = 191,600,987,006.25/197,508
  6. Step 6: Final answer
    x = 970,092.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.