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Finding the Third Proportional to 166,943 and 365,719

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Solution

The third proportional to 166,943 and 365,719 is: 801,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,943 : 365,719 = 365,719 : x
  2. Step 2: Convert to fraction form
    166,943/365,719 = 365,719/x
  3. Step 3: Cross multiply
    166,943x = 365,719 × 365,719
  4. Step 4: Simplify right side
    166,943x = 133,750,386,961
  5. Step 5: Solve for x
    x = 133,750,386,961/166,943
  6. Step 6: Final answer
    x = 801,173.98

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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.