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Finding the Third Proportional to 140,956.88 and 293,577.75

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Solution

The third proportional to 140,956.88 and 293,577.75 is: 611,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,956.88 : 293,577.75 = 293,577.75 : x
  2. Step 2: Convert to fraction form
    140,956.88/293,577.75 = 293,577.75/x
  3. Step 3: Cross multiply
    140,956.88x = 293,577.75 × 293,577.75
  4. Step 4: Simplify right side
    140,956.88x = 86,187,895,295.06
  5. Step 5: Solve for x
    x = 86,187,895,295.06/140,956.88
  6. Step 6: Final answer
    x = 611,448.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.