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Finding the Third Proportional to 228,427.59 and 334,850.20

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Solution

The third proportional to 228,427.59 and 334,850.20 is: 490,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,427.59 : 334,850.20 = 334,850.20 : x
  2. Step 2: Convert to fraction form
    228,427.59/334,850.20 = 334,850.20/x
  3. Step 3: Cross multiply
    228,427.59x = 334,850.20 × 334,850.20
  4. Step 4: Simplify right side
    228,427.59x = 112,124,658,532.85
  5. Step 5: Solve for x
    x = 112,124,658,532.85/228,427.59
  6. Step 6: Final answer
    x = 490,854.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.