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Finding the Third Proportional to 135,708.75 and 290,050.88

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Solution

The third proportional to 135,708.75 and 290,050.88 is: 619,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,708.75 : 290,050.88 = 290,050.88 : x
  2. Step 2: Convert to fraction form
    135,708.75/290,050.88 = 290,050.88/x
  3. Step 3: Cross multiply
    135,708.75x = 290,050.88 × 290,050.88
  4. Step 4: Simplify right side
    135,708.75x = 84,129,510,088.27
  5. Step 5: Solve for x
    x = 84,129,510,088.27/135,708.75
  6. Step 6: Final answer
    x = 619,926.94

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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.