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Finding the Third Proportional to 152,325 and 330,072

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Solution

The third proportional to 152,325 and 330,072 is: 715,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,325 : 330,072 = 330,072 : x
  2. Step 2: Convert to fraction form
    152,325/330,072 = 330,072/x
  3. Step 3: Cross multiply
    152,325x = 330,072 × 330,072
  4. Step 4: Simplify right side
    152,325x = 108,947,525,184
  5. Step 5: Solve for x
    x = 108,947,525,184/152,325
  6. Step 6: Final answer
    x = 715,230.76

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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.