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Finding the Third Proportional to 268,233.75 and 375,986.25

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Solution

The third proportional to 268,233.75 and 375,986.25 is: 527,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,233.75 : 375,986.25 = 375,986.25 : x
  2. Step 2: Convert to fraction form
    268,233.75/375,986.25 = 375,986.25/x
  3. Step 3: Cross multiply
    268,233.75x = 375,986.25 × 375,986.25
  4. Step 4: Simplify right side
    268,233.75x = 141,365,660,189.06
  5. Step 5: Solve for x
    x = 141,365,660,189.06/268,233.75
  6. Step 6: Final answer
    x = 527,024.14

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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.