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Finding the Third Proportional to 228,285 and 354,859.50

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Solution

The third proportional to 228,285 and 354,859.50 is: 551,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,285 : 354,859.50 = 354,859.50 : x
  2. Step 2: Convert to fraction form
    228,285/354,859.50 = 354,859.50/x
  3. Step 3: Cross multiply
    228,285x = 354,859.50 × 354,859.50
  4. Step 4: Simplify right side
    228,285x = 125,925,264,740.25
  5. Step 5: Solve for x
    x = 125,925,264,740.25/228,285
  6. Step 6: Final answer
    x = 551,614.27

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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.