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Finding the Third Proportional to 202,693 and 469,181

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Solution

The third proportional to 202,693 and 469,181 is: 1,086,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,693 : 469,181 = 469,181 : x
  2. Step 2: Convert to fraction form
    202,693/469,181 = 469,181/x
  3. Step 3: Cross multiply
    202,693x = 469,181 × 469,181
  4. Step 4: Simplify right side
    202,693x = 220,130,810,761
  5. Step 5: Solve for x
    x = 220,130,810,761/202,693
  6. Step 6: Final answer
    x = 1,086,030.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.