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Finding the Third Proportional to 109,206.75 and 233,594.25

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Solution

The third proportional to 109,206.75 and 233,594.25 is: 499,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206.75 : 233,594.25 = 233,594.25 : x
  2. Step 2: Convert to fraction form
    109,206.75/233,594.25 = 233,594.25/x
  3. Step 3: Cross multiply
    109,206.75x = 233,594.25 × 233,594.25
  4. Step 4: Simplify right side
    109,206.75x = 54,566,273,633.06
  5. Step 5: Solve for x
    x = 54,566,273,633.06/109,206.75
  6. Step 6: Final answer
    x = 499,660.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.