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Finding the Third Proportional to 266,198 and 402,070

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Solution

The third proportional to 266,198 and 402,070 is: 607,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,198 : 402,070 = 402,070 : x
  2. Step 2: Convert to fraction form
    266,198/402,070 = 402,070/x
  3. Step 3: Cross multiply
    266,198x = 402,070 × 402,070
  4. Step 4: Simplify right side
    266,198x = 161,660,284,900
  5. Step 5: Solve for x
    x = 161,660,284,900/266,198
  6. Step 6: Final answer
    x = 607,293.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.