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Finding the Third Proportional to 266,206 and 402,083

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Solution

The third proportional to 266,206 and 402,083 is: 607,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,206 : 402,083 = 402,083 : x
  2. Step 2: Convert to fraction form
    266,206/402,083 = 402,083/x
  3. Step 3: Cross multiply
    266,206x = 402,083 × 402,083
  4. Step 4: Simplify right side
    266,206x = 161,670,738,889
  5. Step 5: Solve for x
    x = 161,670,738,889/266,206
  6. Step 6: Final answer
    x = 607,314.41

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Why These Related Problems?

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