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Finding the Third Proportional to 166,870 and 355,890

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Solution

The third proportional to 166,870 and 355,890 is: 759,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,870 : 355,890 = 355,890 : x
  2. Step 2: Convert to fraction form
    166,870/355,890 = 355,890/x
  3. Step 3: Cross multiply
    166,870x = 355,890 × 355,890
  4. Step 4: Simplify right side
    166,870x = 126,657,692,100
  5. Step 5: Solve for x
    x = 126,657,692,100/166,870
  6. Step 6: Final answer
    x = 759,020.15

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.