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Finding the Third Proportional to 143,083.13 and 227,761.03

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Solution

The third proportional to 143,083.13 and 227,761.03 is: 362,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,083.13 : 227,761.03 = 227,761.03 : x
  2. Step 2: Convert to fraction form
    143,083.13/227,761.03 = 227,761.03/x
  3. Step 3: Cross multiply
    143,083.13x = 227,761.03 × 227,761.03
  4. Step 4: Simplify right side
    143,083.13x = 51,875,087,356.06
  5. Step 5: Solve for x
    x = 51,875,087,356.06/143,083.13
  6. Step 6: Final answer
    x = 362,552.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.