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Finding the Third Proportional to 166,913 and 371,143

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Solution

The third proportional to 166,913 and 371,143 is: 825,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,913 : 371,143 = 371,143 : x
  2. Step 2: Convert to fraction form
    166,913/371,143 = 371,143/x
  3. Step 3: Cross multiply
    166,913x = 371,143 × 371,143
  4. Step 4: Simplify right side
    166,913x = 137,747,126,449
  5. Step 5: Solve for x
    x = 137,747,126,449/166,913
  6. Step 6: Final answer
    x = 825,263.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.