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Finding the Third Proportional to 176,591 and 234,997

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Solution

The third proportional to 176,591 and 234,997 is: 312,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,591 : 234,997 = 234,997 : x
  2. Step 2: Convert to fraction form
    176,591/234,997 = 234,997/x
  3. Step 3: Cross multiply
    176,591x = 234,997 × 234,997
  4. Step 4: Simplify right side
    176,591x = 55,223,590,009
  5. Step 5: Solve for x
    x = 55,223,590,009/176,591
  6. Step 6: Final answer
    x = 312,720.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.