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Finding the Third Proportional to 176,804 and 363,814

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Solution

The third proportional to 176,804 and 363,814 is: 748,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,804 : 363,814 = 363,814 : x
  2. Step 2: Convert to fraction form
    176,804/363,814 = 363,814/x
  3. Step 3: Cross multiply
    176,804x = 363,814 × 363,814
  4. Step 4: Simplify right side
    176,804x = 132,360,626,596
  5. Step 5: Solve for x
    x = 132,360,626,596/176,804
  6. Step 6: Final answer
    x = 748,629.14

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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.