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Finding the Third Proportional to 75,240 and 178,254

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Solution

The third proportional to 75,240 and 178,254 is: 422,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,240 : 178,254 = 178,254 : x
  2. Step 2: Convert to fraction form
    75,240/178,254 = 178,254/x
  3. Step 3: Cross multiply
    75,240x = 178,254 × 178,254
  4. Step 4: Simplify right side
    75,240x = 31,774,488,516
  5. Step 5: Solve for x
    x = 31,774,488,516/75,240
  6. Step 6: Final answer
    x = 422,308.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.