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Finding the Third Proportional to 215,290 and 336,017

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Solution

The third proportional to 215,290 and 336,017 is: 524,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,290 : 336,017 = 336,017 : x
  2. Step 2: Convert to fraction form
    215,290/336,017 = 336,017/x
  3. Step 3: Cross multiply
    215,290x = 336,017 × 336,017
  4. Step 4: Simplify right side
    215,290x = 112,907,424,289
  5. Step 5: Solve for x
    x = 112,907,424,289/215,290
  6. Step 6: Final answer
    x = 524,443.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.