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Finding the Third Proportional to 141,893.50 and 211,610

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Solution

The third proportional to 141,893.50 and 211,610 is: 315,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,893.50 : 211,610 = 211,610 : x
  2. Step 2: Convert to fraction form
    141,893.50/211,610 = 211,610/x
  3. Step 3: Cross multiply
    141,893.50x = 211,610 × 211,610
  4. Step 4: Simplify right side
    141,893.50x = 44,778,792,100
  5. Step 5: Solve for x
    x = 44,778,792,100/141,893.50
  6. Step 6: Final answer
    x = 315,580.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.