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Finding the Third Proportional to 146,082 and 306,920

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Solution

The third proportional to 146,082 and 306,920 is: 644,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,082 : 306,920 = 306,920 : x
  2. Step 2: Convert to fraction form
    146,082/306,920 = 306,920/x
  3. Step 3: Cross multiply
    146,082x = 306,920 × 306,920
  4. Step 4: Simplify right side
    146,082x = 94,199,886,400
  5. Step 5: Solve for x
    x = 94,199,886,400/146,082
  6. Step 6: Final answer
    x = 644,842.53

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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.