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Finding the Third Proportional to 228,286.50 and 354,862.50

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Solution

The third proportional to 228,286.50 and 354,862.50 is: 551,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,286.50 : 354,862.50 = 354,862.50 : x
  2. Step 2: Convert to fraction form
    228,286.50/354,862.50 = 354,862.50/x
  3. Step 3: Cross multiply
    228,286.50x = 354,862.50 × 354,862.50
  4. Step 4: Simplify right side
    228,286.50x = 125,927,393,906.25
  5. Step 5: Solve for x
    x = 125,927,393,906.25/228,286.50
  6. Step 6: Final answer
    x = 551,619.98

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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.