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Finding the Third Proportional to 143,537.06 and 335,264.06

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Solution

The third proportional to 143,537.06 and 335,264.06 is: 783,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,537.06 : 335,264.06 = 335,264.06 : x
  2. Step 2: Convert to fraction form
    143,537.06/335,264.06 = 335,264.06/x
  3. Step 3: Cross multiply
    143,537.06x = 335,264.06 × 335,264.06
  4. Step 4: Simplify right side
    143,537.06x = 112,401,991,604.00
  5. Step 5: Solve for x
    x = 112,401,991,604.00/143,537.06
  6. Step 6: Final answer
    x = 783,086.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.