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Finding the Third Proportional to 166,275.70 and 363,607.31

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Solution

The third proportional to 166,275.70 and 363,607.31 is: 795,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,275.70 : 363,607.31 = 363,607.31 : x
  2. Step 2: Convert to fraction form
    166,275.70/363,607.31 = 363,607.31/x
  3. Step 3: Cross multiply
    166,275.70x = 363,607.31 × 363,607.31
  4. Step 4: Simplify right side
    166,275.70x = 132,210,277,703.47
  5. Step 5: Solve for x
    x = 132,210,277,703.47/166,275.70
  6. Step 6: Final answer
    x = 795,126.86

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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.