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Finding the Third Proportional to 164,463 and 358,626

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Solution

The third proportional to 164,463 and 358,626 is: 782,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,463 : 358,626 = 358,626 : x
  2. Step 2: Convert to fraction form
    164,463/358,626 = 358,626/x
  3. Step 3: Cross multiply
    164,463x = 358,626 × 358,626
  4. Step 4: Simplify right side
    164,463x = 128,612,607,876
  5. Step 5: Solve for x
    x = 128,612,607,876/164,463
  6. Step 6: Final answer
    x = 782,015.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.