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Finding the Third Proportional to 228,451.50 and 334,881

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Solution

The third proportional to 228,451.50 and 334,881 is: 490,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.50 : 334,881 = 334,881 : x
  2. Step 2: Convert to fraction form
    228,451.50/334,881 = 334,881/x
  3. Step 3: Cross multiply
    228,451.50x = 334,881 × 334,881
  4. Step 4: Simplify right side
    228,451.50x = 112,145,284,161
  5. Step 5: Solve for x
    x = 112,145,284,161/228,451.50
  6. Step 6: Final answer
    x = 490,893.18

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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.