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Finding the Third Proportional to 151,491 and 235,221.75

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Solution

The third proportional to 151,491 and 235,221.75 is: 365,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,491 : 235,221.75 = 235,221.75 : x
  2. Step 2: Convert to fraction form
    151,491/235,221.75 = 235,221.75/x
  3. Step 3: Cross multiply
    151,491x = 235,221.75 × 235,221.75
  4. Step 4: Simplify right side
    151,491x = 55,329,271,673.06
  5. Step 5: Solve for x
    x = 55,329,271,673.06/151,491
  6. Step 6: Final answer
    x = 365,231.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.