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Finding the Third Proportional to 147,807 and 324,227

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Solution

The third proportional to 147,807 and 324,227 is: 711,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,807 : 324,227 = 324,227 : x
  2. Step 2: Convert to fraction form
    147,807/324,227 = 324,227/x
  3. Step 3: Cross multiply
    147,807x = 324,227 × 324,227
  4. Step 4: Simplify right side
    147,807x = 105,123,147,529
  5. Step 5: Solve for x
    x = 105,123,147,529/147,807
  6. Step 6: Final answer
    x = 711,219.01

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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.