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Finding the Third Proportional to 152,597.25 and 342,722.25

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Solution

The third proportional to 152,597.25 and 342,722.25 is: 769,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,597.25 : 342,722.25 = 342,722.25 : x
  2. Step 2: Convert to fraction form
    152,597.25/342,722.25 = 342,722.25/x
  3. Step 3: Cross multiply
    152,597.25x = 342,722.25 × 342,722.25
  4. Step 4: Simplify right side
    152,597.25x = 117,458,540,645.06
  5. Step 5: Solve for x
    x = 117,458,540,645.06/152,597.25
  6. Step 6: Final answer
    x = 769,729.08

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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.