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Finding the Third Proportional to 170,811 and 363,798

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Solution

The third proportional to 170,811 and 363,798 is: 774,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,811 : 363,798 = 363,798 : x
  2. Step 2: Convert to fraction form
    170,811/363,798 = 363,798/x
  3. Step 3: Cross multiply
    170,811x = 363,798 × 363,798
  4. Step 4: Simplify right side
    170,811x = 132,348,984,804
  5. Step 5: Solve for x
    x = 132,348,984,804/170,811
  6. Step 6: Final answer
    x = 774,827.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.