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Finding the Third Proportional to 268,319 and 363,112.50

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Solution

The third proportional to 268,319 and 363,112.50 is: 491,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,319 : 363,112.50 = 363,112.50 : x
  2. Step 2: Convert to fraction form
    268,319/363,112.50 = 363,112.50/x
  3. Step 3: Cross multiply
    268,319x = 363,112.50 × 363,112.50
  4. Step 4: Simplify right side
    268,319x = 131,850,687,656.25
  5. Step 5: Solve for x
    x = 131,850,687,656.25/268,319
  6. Step 6: Final answer
    x = 491,395.27

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