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Finding the Third Proportional to 191,810 and 417,940

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Solution

The third proportional to 191,810 and 417,940 is: 910,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,810 : 417,940 = 417,940 : x
  2. Step 2: Convert to fraction form
    191,810/417,940 = 417,940/x
  3. Step 3: Cross multiply
    191,810x = 417,940 × 417,940
  4. Step 4: Simplify right side
    191,810x = 174,673,843,600
  5. Step 5: Solve for x
    x = 174,673,843,600/191,810
  6. Step 6: Final answer
    x = 910,660.78

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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.