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Finding the Third Proportional to 141,172 and 310,330

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Solution

The third proportional to 141,172 and 310,330 is: 682,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,172 : 310,330 = 310,330 : x
  2. Step 2: Convert to fraction form
    141,172/310,330 = 310,330/x
  3. Step 3: Cross multiply
    141,172x = 310,330 × 310,330
  4. Step 4: Simplify right side
    141,172x = 96,304,708,900
  5. Step 5: Solve for x
    x = 96,304,708,900/141,172
  6. Step 6: Final answer
    x = 682,179.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.