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Finding the Third Proportional to 223,864 and 337,952

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Solution

The third proportional to 223,864 and 337,952 is: 510,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,864 : 337,952 = 337,952 : x
  2. Step 2: Convert to fraction form
    223,864/337,952 = 337,952/x
  3. Step 3: Cross multiply
    223,864x = 337,952 × 337,952
  4. Step 4: Simplify right side
    223,864x = 114,211,554,304
  5. Step 5: Solve for x
    x = 114,211,554,304/223,864
  6. Step 6: Final answer
    x = 510,182.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.