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Finding the Third Proportional to 152,016.75 and 333,220.50

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Solution

The third proportional to 152,016.75 and 333,220.50 is: 730,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016.75 : 333,220.50 = 333,220.50 : x
  2. Step 2: Convert to fraction form
    152,016.75/333,220.50 = 333,220.50/x
  3. Step 3: Cross multiply
    152,016.75x = 333,220.50 × 333,220.50
  4. Step 4: Simplify right side
    152,016.75x = 111,035,901,620.25
  5. Step 5: Solve for x
    x = 111,035,901,620.25/152,016.75
  6. Step 6: Final answer
    x = 730,418.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.