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Finding the Third Proportional to 74,220.75 and 155,731.50

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Solution

The third proportional to 74,220.75 and 155,731.50 is: 326,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,220.75 : 155,731.50 = 155,731.50 : x
  2. Step 2: Convert to fraction form
    74,220.75/155,731.50 = 155,731.50/x
  3. Step 3: Cross multiply
    74,220.75x = 155,731.50 × 155,731.50
  4. Step 4: Simplify right side
    74,220.75x = 24,252,300,092.25
  5. Step 5: Solve for x
    x = 24,252,300,092.25/74,220.75
  6. Step 6: Final answer
    x = 326,759.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.