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Finding the Third Proportional to 159,178.50 and 348,975

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Solution

The third proportional to 159,178.50 and 348,975 is: 765,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,178.50 : 348,975 = 348,975 : x
  2. Step 2: Convert to fraction form
    159,178.50/348,975 = 348,975/x
  3. Step 3: Cross multiply
    159,178.50x = 348,975 × 348,975
  4. Step 4: Simplify right side
    159,178.50x = 121,783,550,625
  5. Step 5: Solve for x
    x = 121,783,550,625/159,178.50
  6. Step 6: Final answer
    x = 765,075.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.