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Finding the Third Proportional to 152,595 and 342,717.75

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Solution

The third proportional to 152,595 and 342,717.75 is: 769,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,595 : 342,717.75 = 342,717.75 : x
  2. Step 2: Convert to fraction form
    152,595/342,717.75 = 342,717.75/x
  3. Step 3: Cross multiply
    152,595x = 342,717.75 × 342,717.75
  4. Step 4: Simplify right side
    152,595x = 117,455,456,165.06
  5. Step 5: Solve for x
    x = 117,455,456,165.06/152,595
  6. Step 6: Final answer
    x = 769,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.