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Finding the Third Proportional to 146,202 and 315,009

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Solution

The third proportional to 146,202 and 315,009 is: 678,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,202 : 315,009 = 315,009 : x
  2. Step 2: Convert to fraction form
    146,202/315,009 = 315,009/x
  3. Step 3: Cross multiply
    146,202x = 315,009 × 315,009
  4. Step 4: Simplify right side
    146,202x = 99,230,670,081
  5. Step 5: Solve for x
    x = 99,230,670,081/146,202
  6. Step 6: Final answer
    x = 678,723.07

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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.