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Finding the Third Proportional to 149,727.75 and 219,018

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Solution

The third proportional to 149,727.75 and 219,018 is: 320,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,727.75 : 219,018 = 219,018 : x
  2. Step 2: Convert to fraction form
    149,727.75/219,018 = 219,018/x
  3. Step 3: Cross multiply
    149,727.75x = 219,018 × 219,018
  4. Step 4: Simplify right side
    149,727.75x = 47,968,884,324
  5. Step 5: Solve for x
    x = 47,968,884,324/149,727.75
  6. Step 6: Final answer
    x = 320,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.