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Finding the Third Proportional to 166,752 and 365,127

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Solution

The third proportional to 166,752 and 365,127 is: 799,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,752 : 365,127 = 365,127 : x
  2. Step 2: Convert to fraction form
    166,752/365,127 = 365,127/x
  3. Step 3: Cross multiply
    166,752x = 365,127 × 365,127
  4. Step 4: Simplify right side
    166,752x = 133,317,726,129
  5. Step 5: Solve for x
    x = 133,317,726,129/166,752
  6. Step 6: Final answer
    x = 799,497.01

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Why These Related Problems?

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