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Finding the Third Proportional to 226,878.75 and 317,967.75

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Solution

The third proportional to 226,878.75 and 317,967.75 is: 445,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,878.75 : 317,967.75 = 317,967.75 : x
  2. Step 2: Convert to fraction form
    226,878.75/317,967.75 = 317,967.75/x
  3. Step 3: Cross multiply
    226,878.75x = 317,967.75 × 317,967.75
  4. Step 4: Simplify right side
    226,878.75x = 101,103,490,040.06
  5. Step 5: Solve for x
    x = 101,103,490,040.06/226,878.75
  6. Step 6: Final answer
    x = 445,627.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.