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Finding the Third Proportional to 166,434.75 and 363,970.13

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Solution

The third proportional to 166,434.75 and 363,970.13 is: 795,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,434.75 : 363,970.13 = 363,970.13 : x
  2. Step 2: Convert to fraction form
    166,434.75/363,970.13 = 363,970.13/x
  3. Step 3: Cross multiply
    166,434.75x = 363,970.13 × 363,970.13
  4. Step 4: Simplify right side
    166,434.75x = 132,474,251,892.52
  5. Step 5: Solve for x
    x = 132,474,251,892.52/166,434.75
  6. Step 6: Final answer
    x = 795,953.08

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