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Finding the Third Proportional to 141,733 and 219,445

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Solution

The third proportional to 141,733 and 219,445 is: 339,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,733 : 219,445 = 219,445 : x
  2. Step 2: Convert to fraction form
    141,733/219,445 = 219,445/x
  3. Step 3: Cross multiply
    141,733x = 219,445 × 219,445
  4. Step 4: Simplify right side
    141,733x = 48,156,108,025
  5. Step 5: Solve for x
    x = 48,156,108,025/141,733
  6. Step 6: Final answer
    x = 339,766.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.