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Finding the Third Proportional to 143,098 and 310,798

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Solution

The third proportional to 143,098 and 310,798 is: 675,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098 : 310,798 = 310,798 : x
  2. Step 2: Convert to fraction form
    143,098/310,798 = 310,798/x
  3. Step 3: Cross multiply
    143,098x = 310,798 × 310,798
  4. Step 4: Simplify right side
    143,098x = 96,595,396,804
  5. Step 5: Solve for x
    x = 96,595,396,804/143,098
  6. Step 6: Final answer
    x = 675,029.68

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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.