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Finding the Third Proportional to 152,322 and 330,064

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Solution

The third proportional to 152,322 and 330,064 is: 715,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322 : 330,064 = 330,064 : x
  2. Step 2: Convert to fraction form
    152,322/330,064 = 330,064/x
  3. Step 3: Cross multiply
    152,322x = 330,064 × 330,064
  4. Step 4: Simplify right side
    152,322x = 108,942,244,096
  5. Step 5: Solve for x
    x = 108,942,244,096/152,322
  6. Step 6: Final answer
    x = 715,210.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.