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Finding the Third Proportional to 215,967 and 321,700.50

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Solution

The third proportional to 215,967 and 321,700.50 is: 479,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,967 : 321,700.50 = 321,700.50 : x
  2. Step 2: Convert to fraction form
    215,967/321,700.50 = 321,700.50/x
  3. Step 3: Cross multiply
    215,967x = 321,700.50 × 321,700.50
  4. Step 4: Simplify right side
    215,967x = 103,491,211,700.25
  5. Step 5: Solve for x
    x = 103,491,211,700.25/215,967
  6. Step 6: Final answer
    x = 479,199.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.