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Finding the Third Proportional to 152,328 and 330,576

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Solution

The third proportional to 152,328 and 330,576 is: 717,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,328 : 330,576 = 330,576 : x
  2. Step 2: Convert to fraction form
    152,328/330,576 = 330,576/x
  3. Step 3: Cross multiply
    152,328x = 330,576 × 330,576
  4. Step 4: Simplify right side
    152,328x = 109,280,491,776
  5. Step 5: Solve for x
    x = 109,280,491,776/152,328
  6. Step 6: Final answer
    x = 717,402.52

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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.