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Finding the Third Proportional to 220,683.75 and 467,848.50

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Solution

The third proportional to 220,683.75 and 467,848.50 is: 991,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,683.75 : 467,848.50 = 467,848.50 : x
  2. Step 2: Convert to fraction form
    220,683.75/467,848.50 = 467,848.50/x
  3. Step 3: Cross multiply
    220,683.75x = 467,848.50 × 467,848.50
  4. Step 4: Simplify right side
    220,683.75x = 218,882,218,952.25
  5. Step 5: Solve for x
    x = 218,882,218,952.25/220,683.75
  6. Step 6: Final answer
    x = 991,836.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.