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Finding the Third Proportional to 74,333.50 and 160,331

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Solution

The third proportional to 74,333.50 and 160,331 is: 345,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,333.50 : 160,331 = 160,331 : x
  2. Step 2: Convert to fraction form
    74,333.50/160,331 = 160,331/x
  3. Step 3: Cross multiply
    74,333.50x = 160,331 × 160,331
  4. Step 4: Simplify right side
    74,333.50x = 25,706,029,561
  5. Step 5: Solve for x
    x = 25,706,029,561/74,333.50
  6. Step 6: Final answer
    x = 345,820.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.