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Finding the Third Proportional to 135,713.25 and 290,059.88

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Solution

The third proportional to 135,713.25 and 290,059.88 is: 619,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,713.25 : 290,059.88 = 290,059.88 : x
  2. Step 2: Convert to fraction form
    135,713.25/290,059.88 = 290,059.88/x
  3. Step 3: Cross multiply
    135,713.25x = 290,059.88 × 290,059.88
  4. Step 4: Simplify right side
    135,713.25x = 84,134,731,085.02
  5. Step 5: Solve for x
    x = 84,134,731,085.02/135,713.25
  6. Step 6: Final answer
    x = 619,944.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.