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Finding the Third Proportional to 146,430 and 299,772

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Solution

The third proportional to 146,430 and 299,772 is: 613,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,430 : 299,772 = 299,772 : x
  2. Step 2: Convert to fraction form
    146,430/299,772 = 299,772/x
  3. Step 3: Cross multiply
    146,430x = 299,772 × 299,772
  4. Step 4: Simplify right side
    146,430x = 89,863,251,984
  5. Step 5: Solve for x
    x = 89,863,251,984/146,430
  6. Step 6: Final answer
    x = 613,694.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.