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Finding the Third Proportional to 147,180 and 311,892

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Solution

The third proportional to 147,180 and 311,892 is: 660,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,180 : 311,892 = 311,892 : x
  2. Step 2: Convert to fraction form
    147,180/311,892 = 311,892/x
  3. Step 3: Cross multiply
    147,180x = 311,892 × 311,892
  4. Step 4: Simplify right side
    147,180x = 97,276,619,664
  5. Step 5: Solve for x
    x = 97,276,619,664/147,180
  6. Step 6: Final answer
    x = 660,936.40

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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.