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Finding the Third Proportional to 198,237.50 and 319,192

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Solution

The third proportional to 198,237.50 and 319,192 is: 513,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,237.50 : 319,192 = 319,192 : x
  2. Step 2: Convert to fraction form
    198,237.50/319,192 = 319,192/x
  3. Step 3: Cross multiply
    198,237.50x = 319,192 × 319,192
  4. Step 4: Simplify right side
    198,237.50x = 101,883,532,864
  5. Step 5: Solve for x
    x = 101,883,532,864/198,237.50
  6. Step 6: Final answer
    x = 513,946.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.