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Finding the Third Proportional to 146,063 and 299,034

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Solution

The third proportional to 146,063 and 299,034 is: 612,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,063 : 299,034 = 299,034 : x
  2. Step 2: Convert to fraction form
    146,063/299,034 = 299,034/x
  3. Step 3: Cross multiply
    146,063x = 299,034 × 299,034
  4. Step 4: Simplify right side
    146,063x = 89,421,333,156
  5. Step 5: Solve for x
    x = 89,421,333,156/146,063
  6. Step 6: Final answer
    x = 612,210.71

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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.