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Finding the Third Proportional to 199,750.75 and 427,932.50

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Solution

The third proportional to 199,750.75 and 427,932.50 is: 916,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,750.75 : 427,932.50 = 427,932.50 : x
  2. Step 2: Convert to fraction form
    199,750.75/427,932.50 = 427,932.50/x
  3. Step 3: Cross multiply
    199,750.75x = 427,932.50 × 427,932.50
  4. Step 4: Simplify right side
    199,750.75x = 183,126,224,556.25
  5. Step 5: Solve for x
    x = 183,126,224,556.25/199,750.75
  6. Step 6: Final answer
    x = 916,773.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.