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Finding the Third Proportional to 175,742.75 and 266,078.75

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Solution

The third proportional to 175,742.75 and 266,078.75 is: 402,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,742.75 : 266,078.75 = 266,078.75 : x
  2. Step 2: Convert to fraction form
    175,742.75/266,078.75 = 266,078.75/x
  3. Step 3: Cross multiply
    175,742.75x = 266,078.75 × 266,078.75
  4. Step 4: Simplify right side
    175,742.75x = 70,797,901,201.56
  5. Step 5: Solve for x
    x = 70,797,901,201.56/175,742.75
  6. Step 6: Final answer
    x = 402,849.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.