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Finding the Third Proportional to 164,061 and 353,729

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Solution

The third proportional to 164,061 and 353,729 is: 762,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,061 : 353,729 = 353,729 : x
  2. Step 2: Convert to fraction form
    164,061/353,729 = 353,729/x
  3. Step 3: Cross multiply
    164,061x = 353,729 × 353,729
  4. Step 4: Simplify right side
    164,061x = 125,124,205,441
  5. Step 5: Solve for x
    x = 125,124,205,441/164,061
  6. Step 6: Final answer
    x = 762,668.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.