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Finding the Third Proportional to 268,284 and 363,060

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Solution

The third proportional to 268,284 and 363,060 is: 491,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,284 : 363,060 = 363,060 : x
  2. Step 2: Convert to fraction form
    268,284/363,060 = 363,060/x
  3. Step 3: Cross multiply
    268,284x = 363,060 × 363,060
  4. Step 4: Simplify right side
    268,284x = 131,812,563,600
  5. Step 5: Solve for x
    x = 131,812,563,600/268,284
  6. Step 6: Final answer
    x = 491,317.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.