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Finding the Third Proportional to 164,702 and 359,523

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Solution

The third proportional to 164,702 and 359,523 is: 784,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,702 : 359,523 = 359,523 : x
  2. Step 2: Convert to fraction form
    164,702/359,523 = 359,523/x
  3. Step 3: Cross multiply
    164,702x = 359,523 × 359,523
  4. Step 4: Simplify right side
    164,702x = 129,256,787,529
  5. Step 5: Solve for x
    x = 129,256,787,529/164,702
  6. Step 6: Final answer
    x = 784,791.85

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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.