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Finding the Third Proportional to 215,040 and 334,336

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Solution

The third proportional to 215,040 and 334,336 is: 519,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,040 : 334,336 = 334,336 : x
  2. Step 2: Convert to fraction form
    215,040/334,336 = 334,336/x
  3. Step 3: Cross multiply
    215,040x = 334,336 × 334,336
  4. Step 4: Simplify right side
    215,040x = 111,780,560,896
  5. Step 5: Solve for x
    x = 111,780,560,896/215,040
  6. Step 6: Final answer
    x = 519,812.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.