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Finding the Third Proportional to 166,905 and 371,126.25

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Solution

The third proportional to 166,905 and 371,126.25 is: 825,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,905 : 371,126.25 = 371,126.25 : x
  2. Step 2: Convert to fraction form
    166,905/371,126.25 = 371,126.25/x
  3. Step 3: Cross multiply
    166,905x = 371,126.25 × 371,126.25
  4. Step 4: Simplify right side
    166,905x = 137,734,693,439.06
  5. Step 5: Solve for x
    x = 137,734,693,439.06/166,905
  6. Step 6: Final answer
    x = 825,228.08

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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.