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Finding the Third Proportional to 146,127 and 315,012

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Solution

The third proportional to 146,127 and 315,012 is: 679,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,127 : 315,012 = 315,012 : x
  2. Step 2: Convert to fraction form
    146,127/315,012 = 315,012/x
  3. Step 3: Cross multiply
    146,127x = 315,012 × 315,012
  4. Step 4: Simplify right side
    146,127x = 99,232,560,144
  5. Step 5: Solve for x
    x = 99,232,560,144/146,127
  6. Step 6: Final answer
    x = 679,084.36

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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.