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Finding the Third Proportional to 74,499.75 and 152,280

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Solution

The third proportional to 74,499.75 and 152,280 is: 311,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,499.75 : 152,280 = 152,280 : x
  2. Step 2: Convert to fraction form
    74,499.75/152,280 = 152,280/x
  3. Step 3: Cross multiply
    74,499.75x = 152,280 × 152,280
  4. Step 4: Simplify right side
    74,499.75x = 23,189,198,400
  5. Step 5: Solve for x
    x = 23,189,198,400/74,499.75
  6. Step 6: Final answer
    x = 311,265.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.