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Finding the Third Proportional to 135,499.88 and 201,285.56

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Solution

The third proportional to 135,499.88 and 201,285.56 is: 299,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,499.88 : 201,285.56 = 201,285.56 : x
  2. Step 2: Convert to fraction form
    135,499.88/201,285.56 = 201,285.56/x
  3. Step 3: Cross multiply
    135,499.88x = 201,285.56 × 201,285.56
  4. Step 4: Simplify right side
    135,499.88x = 40,515,877,670.94
  5. Step 5: Solve for x
    x = 40,515,877,670.94/135,499.88
  6. Step 6: Final answer
    x = 299,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.