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Finding the Third Proportional to 193,600.13 and 416,866.50

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Solution

The third proportional to 193,600.13 and 416,866.50 is: 897,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,600.13 : 416,866.50 = 416,866.50 : x
  2. Step 2: Convert to fraction form
    193,600.13/416,866.50 = 416,866.50/x
  3. Step 3: Cross multiply
    193,600.13x = 416,866.50 × 416,866.50
  4. Step 4: Simplify right side
    193,600.13x = 173,777,678,822.25
  5. Step 5: Solve for x
    x = 173,777,678,822.25/193,600.13
  6. Step 6: Final answer
    x = 897,611.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.