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Finding the Third Proportional to 221,827.50 and 344,121.75

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Solution

The third proportional to 221,827.50 and 344,121.75 is: 533,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,827.50 : 344,121.75 = 344,121.75 : x
  2. Step 2: Convert to fraction form
    221,827.50/344,121.75 = 344,121.75/x
  3. Step 3: Cross multiply
    221,827.50x = 344,121.75 × 344,121.75
  4. Step 4: Simplify right side
    221,827.50x = 118,419,778,823.06
  5. Step 5: Solve for x
    x = 118,419,778,823.06/221,827.50
  6. Step 6: Final answer
    x = 533,837.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.