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Finding the Third Proportional to 191,688 and 416,838

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Solution

The third proportional to 191,688 and 416,838 is: 906,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,688 : 416,838 = 416,838 : x
  2. Step 2: Convert to fraction form
    191,688/416,838 = 416,838/x
  3. Step 3: Cross multiply
    191,688x = 416,838 × 416,838
  4. Step 4: Simplify right side
    191,688x = 173,753,918,244
  5. Step 5: Solve for x
    x = 173,753,918,244/191,688
  6. Step 6: Final answer
    x = 906,441.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.