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Finding the Third Proportional to 266,168 and 391,462

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Solution

The third proportional to 266,168 and 391,462 is: 575,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,168 : 391,462 = 391,462 : x
  2. Step 2: Convert to fraction form
    266,168/391,462 = 391,462/x
  3. Step 3: Cross multiply
    266,168x = 391,462 × 391,462
  4. Step 4: Simplify right side
    266,168x = 153,242,497,444
  5. Step 5: Solve for x
    x = 153,242,497,444/266,168
  6. Step 6: Final answer
    x = 575,735.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.