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Finding the Third Proportional to 176,729 and 363,826

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Solution

The third proportional to 176,729 and 363,826 is: 748,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,729 : 363,826 = 363,826 : x
  2. Step 2: Convert to fraction form
    176,729/363,826 = 363,826/x
  3. Step 3: Cross multiply
    176,729x = 363,826 × 363,826
  4. Step 4: Simplify right side
    176,729x = 132,369,358,276
  5. Step 5: Solve for x
    x = 132,369,358,276/176,729
  6. Step 6: Final answer
    x = 748,996.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.