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Finding the Third Proportional to 223,464.75 and 319,222.13

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Solution

The third proportional to 223,464.75 and 319,222.13 is: 456,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,464.75 : 319,222.13 = 319,222.13 : x
  2. Step 2: Convert to fraction form
    223,464.75/319,222.13 = 319,222.13/x
  3. Step 3: Cross multiply
    223,464.75x = 319,222.13 × 319,222.13
  4. Step 4: Simplify right side
    223,464.75x = 101,902,765,089.52
  5. Step 5: Solve for x
    x = 101,902,765,089.52/223,464.75
  6. Step 6: Final answer
    x = 456,012.70

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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.