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Finding the Third Proportional to 152,080.03 and 220,279.50

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Solution

The third proportional to 152,080.03 and 220,279.50 is: 319,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,080.03 : 220,279.50 = 220,279.50 : x
  2. Step 2: Convert to fraction form
    152,080.03/220,279.50 = 220,279.50/x
  3. Step 3: Cross multiply
    152,080.03x = 220,279.50 × 220,279.50
  4. Step 4: Simplify right side
    152,080.03x = 48,523,058,120.25
  5. Step 5: Solve for x
    x = 48,523,058,120.25/152,080.03
  6. Step 6: Final answer
    x = 319,062.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.