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Finding the Third Proportional to 207,825.75 and 330,392.25

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Solution

The third proportional to 207,825.75 and 330,392.25 is: 525,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.75 : 330,392.25 = 330,392.25 : x
  2. Step 2: Convert to fraction form
    207,825.75/330,392.25 = 330,392.25/x
  3. Step 3: Cross multiply
    207,825.75x = 330,392.25 × 330,392.25
  4. Step 4: Simplify right side
    207,825.75x = 109,159,038,860.06
  5. Step 5: Solve for x
    x = 109,159,038,860.06/207,825.75
  6. Step 6: Final answer
    x = 525,243.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.