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Finding the Third Proportional to 228,531 and 347,893.50

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Solution

The third proportional to 228,531 and 347,893.50 is: 529,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,531 : 347,893.50 = 347,893.50 : x
  2. Step 2: Convert to fraction form
    228,531/347,893.50 = 347,893.50/x
  3. Step 3: Cross multiply
    228,531x = 347,893.50 × 347,893.50
  4. Step 4: Simplify right side
    228,531x = 121,029,887,342.25
  5. Step 5: Solve for x
    x = 121,029,887,342.25/228,531
  6. Step 6: Final answer
    x = 529,599.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.