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Finding the Third Proportional to 191,241 and 416,259

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Solution

The third proportional to 191,241 and 416,259 is: 906,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,241 : 416,259 = 416,259 : x
  2. Step 2: Convert to fraction form
    191,241/416,259 = 416,259/x
  3. Step 3: Cross multiply
    191,241x = 416,259 × 416,259
  4. Step 4: Simplify right side
    191,241x = 173,271,555,081
  5. Step 5: Solve for x
    x = 173,271,555,081/191,241
  6. Step 6: Final answer
    x = 906,037.70

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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.