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Finding the Third Proportional to 143,098 and 310,778

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Solution

The third proportional to 143,098 and 310,778 is: 674,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098 : 310,778 = 310,778 : x
  2. Step 2: Convert to fraction form
    143,098/310,778 = 310,778/x
  3. Step 3: Cross multiply
    143,098x = 310,778 × 310,778
  4. Step 4: Simplify right side
    143,098x = 96,582,965,284
  5. Step 5: Solve for x
    x = 96,582,965,284/143,098
  6. Step 6: Final answer
    x = 674,942.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.