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Finding the Third Proportional to 146,472 and 315,024

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Solution

The third proportional to 146,472 and 315,024 is: 677,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,472 : 315,024 = 315,024 : x
  2. Step 2: Convert to fraction form
    146,472/315,024 = 315,024/x
  3. Step 3: Cross multiply
    146,472x = 315,024 × 315,024
  4. Step 4: Simplify right side
    146,472x = 99,240,120,576
  5. Step 5: Solve for x
    x = 99,240,120,576/146,472
  6. Step 6: Final answer
    x = 677,536.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.