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Finding the Third Proportional to 141,668 and 210,908

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Solution

The third proportional to 141,668 and 210,908 is: 313,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,668 : 210,908 = 210,908 : x
  2. Step 2: Convert to fraction form
    141,668/210,908 = 210,908/x
  3. Step 3: Cross multiply
    141,668x = 210,908 × 210,908
  4. Step 4: Simplify right side
    141,668x = 44,482,184,464
  5. Step 5: Solve for x
    x = 44,482,184,464/141,668
  6. Step 6: Final answer
    x = 313,988.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.