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Finding the Third Proportional to 69,998 and 150,364

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Solution

The third proportional to 69,998 and 150,364 is: 322,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,998 : 150,364 = 150,364 : x
  2. Step 2: Convert to fraction form
    69,998/150,364 = 150,364/x
  3. Step 3: Cross multiply
    69,998x = 150,364 × 150,364
  4. Step 4: Simplify right side
    69,998x = 22,609,332,496
  5. Step 5: Solve for x
    x = 22,609,332,496/69,998
  6. Step 6: Final answer
    x = 322,999.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.