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Finding the Third Proportional to 69,152 and 150,818

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Solution

The third proportional to 69,152 and 150,818 is: 328,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,152 : 150,818 = 150,818 : x
  2. Step 2: Convert to fraction form
    69,152/150,818 = 150,818/x
  3. Step 3: Cross multiply
    69,152x = 150,818 × 150,818
  4. Step 4: Simplify right side
    69,152x = 22,746,069,124
  5. Step 5: Solve for x
    x = 22,746,069,124/69,152
  6. Step 6: Final answer
    x = 328,928.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.