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Finding the Third Proportional to 96,579.75 and 233,655.75

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Solution

The third proportional to 96,579.75 and 233,655.75 is: 565,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,579.75 : 233,655.75 = 233,655.75 : x
  2. Step 2: Convert to fraction form
    96,579.75/233,655.75 = 233,655.75/x
  3. Step 3: Cross multiply
    96,579.75x = 233,655.75 × 233,655.75
  4. Step 4: Simplify right side
    96,579.75x = 54,595,009,508.06
  5. Step 5: Solve for x
    x = 54,595,009,508.06/96,579.75
  6. Step 6: Final answer
    x = 565,284.23

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.