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Finding the Third Proportional to 191,016 and 416,016

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Solution

The third proportional to 191,016 and 416,016 is: 906,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,016 : 416,016 = 416,016 : x
  2. Step 2: Convert to fraction form
    191,016/416,016 = 416,016/x
  3. Step 3: Cross multiply
    191,016x = 416,016 × 416,016
  4. Step 4: Simplify right side
    191,016x = 173,069,312,256
  5. Step 5: Solve for x
    x = 173,069,312,256/191,016
  6. Step 6: Final answer
    x = 906,046.15

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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.