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Finding the Third Proportional to 176,739 and 207,904

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Solution

The third proportional to 176,739 and 207,904 is: 244,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,739 : 207,904 = 207,904 : x
  2. Step 2: Convert to fraction form
    176,739/207,904 = 207,904/x
  3. Step 3: Cross multiply
    176,739x = 207,904 × 207,904
  4. Step 4: Simplify right side
    176,739x = 43,224,073,216
  5. Step 5: Solve for x
    x = 43,224,073,216/176,739
  6. Step 6: Final answer
    x = 244,564.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.