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Finding the Third Proportional to 146,362 and 315,524

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Solution

The third proportional to 146,362 and 315,524 is: 680,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,362 : 315,524 = 315,524 : x
  2. Step 2: Convert to fraction form
    146,362/315,524 = 315,524/x
  3. Step 3: Cross multiply
    146,362x = 315,524 × 315,524
  4. Step 4: Simplify right side
    146,362x = 99,555,394,576
  5. Step 5: Solve for x
    x = 99,555,394,576/146,362
  6. Step 6: Final answer
    x = 680,199.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.