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Finding the Third Proportional to 74,350 and 152,324

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Solution

The third proportional to 74,350 and 152,324 is: 312,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,350 : 152,324 = 152,324 : x
  2. Step 2: Convert to fraction form
    74,350/152,324 = 152,324/x
  3. Step 3: Cross multiply
    74,350x = 152,324 × 152,324
  4. Step 4: Simplify right side
    74,350x = 23,202,600,976
  5. Step 5: Solve for x
    x = 23,202,600,976/74,350
  6. Step 6: Final answer
    x = 312,072.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.