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Finding the Third Proportional to 152,084 and 330,087

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Solution

The third proportional to 152,084 and 330,087 is: 716,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,084 : 330,087 = 330,087 : x
  2. Step 2: Convert to fraction form
    152,084/330,087 = 330,087/x
  3. Step 3: Cross multiply
    152,084x = 330,087 × 330,087
  4. Step 4: Simplify right side
    152,084x = 108,957,427,569
  5. Step 5: Solve for x
    x = 108,957,427,569/152,084
  6. Step 6: Final answer
    x = 716,429.26

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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.