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Finding the Third Proportional to 152,336.67 and 330,097.22

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Solution

The third proportional to 152,336.67 and 330,097.22 is: 715,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,336.67 : 330,097.22 = 330,097.22 : x
  2. Step 2: Convert to fraction form
    152,336.67/330,097.22 = 330,097.22/x
  3. Step 3: Cross multiply
    152,336.67x = 330,097.22 × 330,097.22
  4. Step 4: Simplify right side
    152,336.67x = 108,964,173,826.49
  5. Step 5: Solve for x
    x = 108,964,173,826.49/152,336.67
  6. Step 6: Final answer
    x = 715,285.25

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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.