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Finding the Third Proportional to 221,944 and 353,004

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Solution

The third proportional to 221,944 and 353,004 is: 561,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,944 : 353,004 = 353,004 : x
  2. Step 2: Convert to fraction form
    221,944/353,004 = 353,004/x
  3. Step 3: Cross multiply
    221,944x = 353,004 × 353,004
  4. Step 4: Simplify right side
    221,944x = 124,611,824,016
  5. Step 5: Solve for x
    x = 124,611,824,016/221,944
  6. Step 6: Final answer
    x = 561,456.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.