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Finding the Third Proportional to 223,216.25 and 336,837

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Solution

The third proportional to 223,216.25 and 336,837 is: 508,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,216.25 : 336,837 = 336,837 : x
  2. Step 2: Convert to fraction form
    223,216.25/336,837 = 336,837/x
  3. Step 3: Cross multiply
    223,216.25x = 336,837 × 336,837
  4. Step 4: Simplify right side
    223,216.25x = 113,459,164,569
  5. Step 5: Solve for x
    x = 113,459,164,569/223,216.25
  6. Step 6: Final answer
    x = 508,292.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.