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Finding the Third Proportional to 166,080.38 and 257,870.25

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Solution

The third proportional to 166,080.38 and 257,870.25 is: 400,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,080.38 : 257,870.25 = 257,870.25 : x
  2. Step 2: Convert to fraction form
    166,080.38/257,870.25 = 257,870.25/x
  3. Step 3: Cross multiply
    166,080.38x = 257,870.25 × 257,870.25
  4. Step 4: Simplify right side
    166,080.38x = 66,497,065,835.06
  5. Step 5: Solve for x
    x = 66,497,065,835.06/166,080.38
  6. Step 6: Final answer
    x = 400,390.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.