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Finding the Third Proportional to 215,006 and 334,035

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Solution

The third proportional to 215,006 and 334,035 is: 518,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,006 : 334,035 = 334,035 : x
  2. Step 2: Convert to fraction form
    215,006/334,035 = 334,035/x
  3. Step 3: Cross multiply
    215,006x = 334,035 × 334,035
  4. Step 4: Simplify right side
    215,006x = 111,579,381,225
  5. Step 5: Solve for x
    x = 111,579,381,225/215,006
  6. Step 6: Final answer
    x = 518,959.38

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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.