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Finding the Third Proportional to 153,864 and 319,958

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Solution

The third proportional to 153,864 and 319,958 is: 665,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,864 : 319,958 = 319,958 : x
  2. Step 2: Convert to fraction form
    153,864/319,958 = 319,958/x
  3. Step 3: Cross multiply
    153,864x = 319,958 × 319,958
  4. Step 4: Simplify right side
    153,864x = 102,373,121,764
  5. Step 5: Solve for x
    x = 102,373,121,764/153,864
  6. Step 6: Final answer
    x = 665,348.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.