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Finding the Third Proportional to 150,880 and 330,776

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Solution

The third proportional to 150,880 and 330,776 is: 725,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,880 : 330,776 = 330,776 : x
  2. Step 2: Convert to fraction form
    150,880/330,776 = 330,776/x
  3. Step 3: Cross multiply
    150,880x = 330,776 × 330,776
  4. Step 4: Simplify right side
    150,880x = 109,412,762,176
  5. Step 5: Solve for x
    x = 109,412,762,176/150,880
  6. Step 6: Final answer
    x = 725,164.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.