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Finding the Third Proportional to 110,324 and 174,774

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Solution

The third proportional to 110,324 and 174,774 is: 276,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,324 : 174,774 = 174,774 : x
  2. Step 2: Convert to fraction form
    110,324/174,774 = 174,774/x
  3. Step 3: Cross multiply
    110,324x = 174,774 × 174,774
  4. Step 4: Simplify right side
    110,324x = 30,545,951,076
  5. Step 5: Solve for x
    x = 30,545,951,076/110,324
  6. Step 6: Final answer
    x = 276,874.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.