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Finding the Third Proportional to 164,741 and 361,558

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Solution

The third proportional to 164,741 and 361,558 is: 793,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,741 : 361,558 = 361,558 : x
  2. Step 2: Convert to fraction form
    164,741/361,558 = 361,558/x
  3. Step 3: Cross multiply
    164,741x = 361,558 × 361,558
  4. Step 4: Simplify right side
    164,741x = 130,724,187,364
  5. Step 5: Solve for x
    x = 130,724,187,364/164,741
  6. Step 6: Final answer
    x = 793,513.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.