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Finding the Third Proportional to 268,226.44 and 375,974.16

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Solution

The third proportional to 268,226.44 and 375,974.16 is: 527,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,226.44 : 375,974.16 = 375,974.16 : x
  2. Step 2: Convert to fraction form
    268,226.44/375,974.16 = 375,974.16/x
  3. Step 3: Cross multiply
    268,226.44x = 375,974.16 × 375,974.16
  4. Step 4: Simplify right side
    268,226.44x = 141,356,566,167.90
  5. Step 5: Solve for x
    x = 141,356,566,167.90/268,226.44
  6. Step 6: Final answer
    x = 527,004.60

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Why These Related Problems?

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