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Finding the Third Proportional to 110,414 and 174,909

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Solution

The third proportional to 110,414 and 174,909 is: 277,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414 : 174,909 = 174,909 : x
  2. Step 2: Convert to fraction form
    110,414/174,909 = 174,909/x
  3. Step 3: Cross multiply
    110,414x = 174,909 × 174,909
  4. Step 4: Simplify right side
    110,414x = 30,593,158,281
  5. Step 5: Solve for x
    x = 30,593,158,281/110,414
  6. Step 6: Final answer
    x = 277,076.80

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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.