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Finding the Third Proportional to 146,523 and 311,031

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Solution

The third proportional to 146,523 and 311,031 is: 660,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,523 : 311,031 = 311,031 : x
  2. Step 2: Convert to fraction form
    146,523/311,031 = 311,031/x
  3. Step 3: Cross multiply
    146,523x = 311,031 × 311,031
  4. Step 4: Simplify right side
    146,523x = 96,740,282,961
  5. Step 5: Solve for x
    x = 96,740,282,961/146,523
  6. Step 6: Final answer
    x = 660,239.57

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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.