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Finding the Third Proportional to 175,329.56 and 378,340.88

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Solution

The third proportional to 175,329.56 and 378,340.88 is: 816,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,329.56 : 378,340.88 = 378,340.88 : x
  2. Step 2: Convert to fraction form
    175,329.56/378,340.88 = 378,340.88/x
  3. Step 3: Cross multiply
    175,329.56x = 378,340.88 × 378,340.88
  4. Step 4: Simplify right side
    175,329.56x = 143,141,817,695.77
  5. Step 5: Solve for x
    x = 143,141,817,695.77/175,329.56
  6. Step 6: Final answer
    x = 816,415.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.