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Finding the Third Proportional to 228,159.63 and 354,684.38

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Solution

The third proportional to 228,159.63 and 354,684.38 is: 551,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,159.63 : 354,684.38 = 354,684.38 : x
  2. Step 2: Convert to fraction form
    228,159.63/354,684.38 = 354,684.38/x
  3. Step 3: Cross multiply
    228,159.63x = 354,684.38 × 354,684.38
  4. Step 4: Simplify right side
    228,159.63x = 125,801,005,869.14
  5. Step 5: Solve for x
    x = 125,801,005,869.14/228,159.63
  6. Step 6: Final answer
    x = 551,372.78

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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.