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Finding the Third Proportional to 151,576.88 and 330,064.31

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Solution

The third proportional to 151,576.88 and 330,064.31 is: 718,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,576.88 : 330,064.31 = 330,064.31 : x
  2. Step 2: Convert to fraction form
    151,576.88/330,064.31 = 330,064.31/x
  3. Step 3: Cross multiply
    151,576.88x = 330,064.31 × 330,064.31
  4. Step 4: Simplify right side
    151,576.88x = 108,942,450,386.10
  5. Step 5: Solve for x
    x = 108,942,450,386.10/151,576.88
  6. Step 6: Final answer
    x = 718,727.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.