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Finding the Third Proportional to 152,339 and 330,102

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Solution

The third proportional to 152,339 and 330,102 is: 715,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,339 : 330,102 = 330,102 : x
  2. Step 2: Convert to fraction form
    152,339/330,102 = 330,102/x
  3. Step 3: Cross multiply
    152,339x = 330,102 × 330,102
  4. Step 4: Simplify right side
    152,339x = 108,967,330,404
  5. Step 5: Solve for x
    x = 108,967,330,404/152,339
  6. Step 6: Final answer
    x = 715,295.04

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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.