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Finding the Third Proportional to 233,124.75 and 309,435.75

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Solution

The third proportional to 233,124.75 and 309,435.75 is: 410,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,124.75 : 309,435.75 = 309,435.75 : x
  2. Step 2: Convert to fraction form
    233,124.75/309,435.75 = 309,435.75/x
  3. Step 3: Cross multiply
    233,124.75x = 309,435.75 × 309,435.75
  4. Step 4: Simplify right side
    233,124.75x = 95,750,483,378.06
  5. Step 5: Solve for x
    x = 95,750,483,378.06/233,124.75
  6. Step 6: Final answer
    x = 410,726.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.