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Finding the Third Proportional to 223,364 and 349,628

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Solution

The third proportional to 223,364 and 349,628 is: 547,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,364 : 349,628 = 349,628 : x
  2. Step 2: Convert to fraction form
    223,364/349,628 = 349,628/x
  3. Step 3: Cross multiply
    223,364x = 349,628 × 349,628
  4. Step 4: Simplify right side
    223,364x = 122,239,738,384
  5. Step 5: Solve for x
    x = 122,239,738,384/223,364
  6. Step 6: Final answer
    x = 547,266.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.