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Finding the Third Proportional to 166,893 and 360,003

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Solution

The third proportional to 166,893 and 360,003 is: 776,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,893 : 360,003 = 360,003 : x
  2. Step 2: Convert to fraction form
    166,893/360,003 = 360,003/x
  3. Step 3: Cross multiply
    166,893x = 360,003 × 360,003
  4. Step 4: Simplify right side
    166,893x = 129,602,160,009
  5. Step 5: Solve for x
    x = 129,602,160,009/166,893
  6. Step 6: Final answer
    x = 776,558.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.