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Finding the Third Proportional to 135,849 and 295,036.50

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Solution

The third proportional to 135,849 and 295,036.50 is: 640,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,849 : 295,036.50 = 295,036.50 : x
  2. Step 2: Convert to fraction form
    135,849/295,036.50 = 295,036.50/x
  3. Step 3: Cross multiply
    135,849x = 295,036.50 × 295,036.50
  4. Step 4: Simplify right side
    135,849x = 87,046,536,332.25
  5. Step 5: Solve for x
    x = 87,046,536,332.25/135,849
  6. Step 6: Final answer
    x = 640,759.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.