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Finding the Third Proportional to 147,123 and 311,901

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Solution

The third proportional to 147,123 and 311,901 is: 661,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,123 : 311,901 = 311,901 : x
  2. Step 2: Convert to fraction form
    147,123/311,901 = 311,901/x
  3. Step 3: Cross multiply
    147,123x = 311,901 × 311,901
  4. Step 4: Simplify right side
    147,123x = 97,282,233,801
  5. Step 5: Solve for x
    x = 97,282,233,801/147,123
  6. Step 6: Final answer
    x = 661,230.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.