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Finding the Third Proportional to 146,074 and 306,907

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Solution

The third proportional to 146,074 and 306,907 is: 644,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,074 : 306,907 = 306,907 : x
  2. Step 2: Convert to fraction form
    146,074/306,907 = 306,907/x
  3. Step 3: Cross multiply
    146,074x = 306,907 × 306,907
  4. Step 4: Simplify right side
    146,074x = 94,191,906,649
  5. Step 5: Solve for x
    x = 94,191,906,649/146,074
  6. Step 6: Final answer
    x = 644,823.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.