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Finding the Third Proportional to 223,732 and 345,648

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Solution

The third proportional to 223,732 and 345,648 is: 533,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,732 : 345,648 = 345,648 : x
  2. Step 2: Convert to fraction form
    223,732/345,648 = 345,648/x
  3. Step 3: Cross multiply
    223,732x = 345,648 × 345,648
  4. Step 4: Simplify right side
    223,732x = 119,472,539,904
  5. Step 5: Solve for x
    x = 119,472,539,904/223,732
  6. Step 6: Final answer
    x = 533,998.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.