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Finding the Third Proportional to 150,432 and 330,389.63

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Solution

The third proportional to 150,432 and 330,389.63 is: 725,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,432 : 330,389.63 = 330,389.63 : x
  2. Step 2: Convert to fraction form
    150,432/330,389.63 = 330,389.63/x
  3. Step 3: Cross multiply
    150,432x = 330,389.63 × 330,389.63
  4. Step 4: Simplify right side
    150,432x = 109,157,304,307.64
  5. Step 5: Solve for x
    x = 109,157,304,307.64/150,432
  6. Step 6: Final answer
    x = 725,625.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.