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Finding the Third Proportional to 152,962.88 and 246,255.75

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Solution

The third proportional to 152,962.88 and 246,255.75 is: 396,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,962.88 : 246,255.75 = 246,255.75 : x
  2. Step 2: Convert to fraction form
    152,962.88/246,255.75 = 246,255.75/x
  3. Step 3: Cross multiply
    152,962.88x = 246,255.75 × 246,255.75
  4. Step 4: Simplify right side
    152,962.88x = 60,641,894,408.06
  5. Step 5: Solve for x
    x = 60,641,894,408.06/152,962.88
  6. Step 6: Final answer
    x = 396,448.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.