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Finding the Third Proportional to 248,914.50 and 585,103.50

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Solution

The third proportional to 248,914.50 and 585,103.50 is: 1,375,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,914.50 : 585,103.50 = 585,103.50 : x
  2. Step 2: Convert to fraction form
    248,914.50/585,103.50 = 585,103.50/x
  3. Step 3: Cross multiply
    248,914.50x = 585,103.50 × 585,103.50
  4. Step 4: Simplify right side
    248,914.50x = 342,346,105,712.25
  5. Step 5: Solve for x
    x = 342,346,105,712.25/248,914.50
  6. Step 6: Final answer
    x = 1,375,356.22

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.