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Finding the Third Proportional to 228,165.19 and 354,692.25

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Solution

The third proportional to 228,165.19 and 354,692.25 is: 551,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,165.19 : 354,692.25 = 354,692.25 : x
  2. Step 2: Convert to fraction form
    228,165.19/354,692.25 = 354,692.25/x
  3. Step 3: Cross multiply
    228,165.19x = 354,692.25 × 354,692.25
  4. Step 4: Simplify right side
    228,165.19x = 125,806,592,210.06
  5. Step 5: Solve for x
    x = 125,806,592,210.06/228,165.19
  6. Step 6: Final answer
    x = 551,383.82

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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.