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Finding the Third Proportional to 153,936 and 330,792.75

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Solution

The third proportional to 153,936 and 330,792.75 is: 710,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,936 : 330,792.75 = 330,792.75 : x
  2. Step 2: Convert to fraction form
    153,936/330,792.75 = 330,792.75/x
  3. Step 3: Cross multiply
    153,936x = 330,792.75 × 330,792.75
  4. Step 4: Simplify right side
    153,936x = 109,423,843,452.56
  5. Step 5: Solve for x
    x = 109,423,843,452.56/153,936
  6. Step 6: Final answer
    x = 710,839.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.