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Finding the Third Proportional to 152,357 and 330,138

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Solution

The third proportional to 152,357 and 330,138 is: 715,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,357 : 330,138 = 330,138 : x
  2. Step 2: Convert to fraction form
    152,357/330,138 = 330,138/x
  3. Step 3: Cross multiply
    152,357x = 330,138 × 330,138
  4. Step 4: Simplify right side
    152,357x = 108,991,099,044
  5. Step 5: Solve for x
    x = 108,991,099,044/152,357
  6. Step 6: Final answer
    x = 715,366.53

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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.