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Finding the Third Proportional to 164,487 and 353,922

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Solution

The third proportional to 164,487 and 353,922 is: 761,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,487 : 353,922 = 353,922 : x
  2. Step 2: Convert to fraction form
    164,487/353,922 = 353,922/x
  3. Step 3: Cross multiply
    164,487x = 353,922 × 353,922
  4. Step 4: Simplify right side
    164,487x = 125,260,782,084
  5. Step 5: Solve for x
    x = 125,260,782,084/164,487
  6. Step 6: Final answer
    x = 761,523.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.