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Finding the Third Proportional to 74,977.50 and 160,282.50

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Solution

The third proportional to 74,977.50 and 160,282.50 is: 342,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,977.50 : 160,282.50 = 160,282.50 : x
  2. Step 2: Convert to fraction form
    74,977.50/160,282.50 = 160,282.50/x
  3. Step 3: Cross multiply
    74,977.50x = 160,282.50 × 160,282.50
  4. Step 4: Simplify right side
    74,977.50x = 25,690,479,806.25
  5. Step 5: Solve for x
    x = 25,690,479,806.25/74,977.50
  6. Step 6: Final answer
    x = 342,642.52

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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.