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Finding the Third Proportional to 146,080 and 306,916

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Solution

The third proportional to 146,080 and 306,916 is: 644,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,080 : 306,916 = 306,916 : x
  2. Step 2: Convert to fraction form
    146,080/306,916 = 306,916/x
  3. Step 3: Cross multiply
    146,080x = 306,916 × 306,916
  4. Step 4: Simplify right side
    146,080x = 94,197,431,056
  5. Step 5: Solve for x
    x = 94,197,431,056/146,080
  6. Step 6: Final answer
    x = 644,834.55

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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.