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Finding the Third Proportional to 175,150.88 and 364,280.44

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Solution

The third proportional to 175,150.88 and 364,280.44 is: 757,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,150.88 : 364,280.44 = 364,280.44 : x
  2. Step 2: Convert to fraction form
    175,150.88/364,280.44 = 364,280.44/x
  3. Step 3: Cross multiply
    175,150.88x = 364,280.44 × 364,280.44
  4. Step 4: Simplify right side
    175,150.88x = 132,700,237,145.19
  5. Step 5: Solve for x
    x = 132,700,237,145.19/175,150.88
  6. Step 6: Final answer
    x = 757,633.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.