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Finding the Third Proportional to 215,672 and 308,816

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Solution

The third proportional to 215,672 and 308,816 is: 442,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,672 : 308,816 = 308,816 : x
  2. Step 2: Convert to fraction form
    215,672/308,816 = 308,816/x
  3. Step 3: Cross multiply
    215,672x = 308,816 × 308,816
  4. Step 4: Simplify right side
    215,672x = 95,367,321,856
  5. Step 5: Solve for x
    x = 95,367,321,856/215,672
  6. Step 6: Final answer
    x = 442,186.85

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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.