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Finding the Third Proportional to 101,589.75 and 233,643.38

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Solution

The third proportional to 101,589.75 and 233,643.38 is: 537,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,589.75 : 233,643.38 = 233,643.38 : x
  2. Step 2: Convert to fraction form
    101,589.75/233,643.38 = 233,643.38/x
  3. Step 3: Cross multiply
    101,589.75x = 233,643.38 × 233,643.38
  4. Step 4: Simplify right side
    101,589.75x = 54,589,226,681.39
  5. Step 5: Solve for x
    x = 54,589,226,681.39/101,589.75
  6. Step 6: Final answer
    x = 537,349.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.