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Finding the Third Proportional to 248,697.75 and 375,410.25

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Solution

The third proportional to 248,697.75 and 375,410.25 is: 566,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,697.75 : 375,410.25 = 375,410.25 : x
  2. Step 2: Convert to fraction form
    248,697.75/375,410.25 = 375,410.25/x
  3. Step 3: Cross multiply
    248,697.75x = 375,410.25 × 375,410.25
  4. Step 4: Simplify right side
    248,697.75x = 140,932,855,805.06
  5. Step 5: Solve for x
    x = 140,932,855,805.06/248,697.75
  6. Step 6: Final answer
    x = 566,683.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.