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Finding the Third Proportional to 166,303.13 and 364,813.88

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Solution

The third proportional to 166,303.13 and 364,813.88 is: 800,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,303.13 : 364,813.88 = 364,813.88 : x
  2. Step 2: Convert to fraction form
    166,303.13/364,813.88 = 364,813.88/x
  3. Step 3: Cross multiply
    166,303.13x = 364,813.88 × 364,813.88
  4. Step 4: Simplify right side
    166,303.13x = 133,089,163,392.52
  5. Step 5: Solve for x
    x = 133,089,163,392.52/166,303.13
  6. Step 6: Final answer
    x = 800,280.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.