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Finding the Third Proportional to 266,164 and 400,326

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Solution

The third proportional to 266,164 and 400,326 is: 602,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,164 : 400,326 = 400,326 : x
  2. Step 2: Convert to fraction form
    266,164/400,326 = 400,326/x
  3. Step 3: Cross multiply
    266,164x = 400,326 × 400,326
  4. Step 4: Simplify right side
    266,164x = 160,260,906,276
  5. Step 5: Solve for x
    x = 160,260,906,276/266,164
  6. Step 6: Final answer
    x = 602,113.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.