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Finding the Third Proportional to 152,810.30 and 331,872.19

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Solution

The third proportional to 152,810.30 and 331,872.19 is: 720,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,810.30 : 331,872.19 = 331,872.19 : x
  2. Step 2: Convert to fraction form
    152,810.30/331,872.19 = 331,872.19/x
  3. Step 3: Cross multiply
    152,810.30x = 331,872.19 × 331,872.19
  4. Step 4: Simplify right side
    152,810.30x = 110,139,148,836.04
  5. Step 5: Solve for x
    x = 110,139,148,836.04/152,810.30
  6. Step 6: Final answer
    x = 720,757.38

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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.