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Finding the Third Proportional to 228,442.50 and 334,869

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Solution

The third proportional to 228,442.50 and 334,869 is: 490,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,442.50 : 334,869 = 334,869 : x
  2. Step 2: Convert to fraction form
    228,442.50/334,869 = 334,869/x
  3. Step 3: Cross multiply
    228,442.50x = 334,869 × 334,869
  4. Step 4: Simplify right side
    228,442.50x = 112,137,247,161
  5. Step 5: Solve for x
    x = 112,137,247,161/228,442.50
  6. Step 6: Final answer
    x = 490,877.34

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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.