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Finding the Third Proportional to 135,988.88 and 290,688.75

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Solution

The third proportional to 135,988.88 and 290,688.75 is: 621,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,988.88 : 290,688.75 = 290,688.75 : x
  2. Step 2: Convert to fraction form
    135,988.88/290,688.75 = 290,688.75/x
  3. Step 3: Cross multiply
    135,988.88x = 290,688.75 × 290,688.75
  4. Step 4: Simplify right side
    135,988.88x = 84,499,949,376.56
  5. Step 5: Solve for x
    x = 84,499,949,376.56/135,988.88
  6. Step 6: Final answer
    x = 621,373.99

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