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Finding the Third Proportional to 73,319.50 and 160,652

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Solution

The third proportional to 73,319.50 and 160,652 is: 352,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,319.50 : 160,652 = 160,652 : x
  2. Step 2: Convert to fraction form
    73,319.50/160,652 = 160,652/x
  3. Step 3: Cross multiply
    73,319.50x = 160,652 × 160,652
  4. Step 4: Simplify right side
    73,319.50x = 25,809,065,104
  5. Step 5: Solve for x
    x = 25,809,065,104/73,319.50
  6. Step 6: Final answer
    x = 352,008.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.