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Finding the Third Proportional to 231,378 and 469,196

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Solution

The third proportional to 231,378 and 469,196 is: 951,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,378 : 469,196 = 469,196 : x
  2. Step 2: Convert to fraction form
    231,378/469,196 = 469,196/x
  3. Step 3: Cross multiply
    231,378x = 469,196 × 469,196
  4. Step 4: Simplify right side
    231,378x = 220,144,886,416
  5. Step 5: Solve for x
    x = 220,144,886,416/231,378
  6. Step 6: Final answer
    x = 951,451.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.