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Finding the Third Proportional to 233,266.88 and 349,839.56

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Solution

The third proportional to 233,266.88 and 349,839.56 is: 524,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.88 : 349,839.56 = 349,839.56 : x
  2. Step 2: Convert to fraction form
    233,266.88/349,839.56 = 349,839.56/x
  3. Step 3: Cross multiply
    233,266.88x = 349,839.56 × 349,839.56
  4. Step 4: Simplify right side
    233,266.88x = 122,387,719,490.19
  5. Step 5: Solve for x
    x = 122,387,719,490.19/233,266.88
  6. Step 6: Final answer
    x = 524,668.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.