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Finding the Third Proportional to 119,002 and 259,316

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Solution

The third proportional to 119,002 and 259,316 is: 565,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,002 : 259,316 = 259,316 : x
  2. Step 2: Convert to fraction form
    119,002/259,316 = 259,316/x
  3. Step 3: Cross multiply
    119,002x = 259,316 × 259,316
  4. Step 4: Simplify right side
    119,002x = 67,244,787,856
  5. Step 5: Solve for x
    x = 67,244,787,856/119,002
  6. Step 6: Final answer
    x = 565,072.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.