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Finding the Third Proportional to 223,471.50 and 319,231.88

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Solution

The third proportional to 223,471.50 and 319,231.88 is: 456,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,471.50 : 319,231.88 = 319,231.88 : x
  2. Step 2: Convert to fraction form
    223,471.50/319,231.88 = 319,231.88/x
  3. Step 3: Cross multiply
    223,471.50x = 319,231.88 × 319,231.88
  4. Step 4: Simplify right side
    223,471.50x = 101,908,990,016.02
  5. Step 5: Solve for x
    x = 101,908,990,016.02/223,471.50
  6. Step 6: Final answer
    x = 456,026.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.