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Finding the Third Proportional to 152,649 and 330,722

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Solution

The third proportional to 152,649 and 330,722 is: 716,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,649 : 330,722 = 330,722 : x
  2. Step 2: Convert to fraction form
    152,649/330,722 = 330,722/x
  3. Step 3: Cross multiply
    152,649x = 330,722 × 330,722
  4. Step 4: Simplify right side
    152,649x = 109,377,041,284
  5. Step 5: Solve for x
    x = 109,377,041,284/152,649
  6. Step 6: Final answer
    x = 716,526.42

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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.