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Finding the Third Proportional to 141,410 and 219,531

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Solution

The third proportional to 141,410 and 219,531 is: 340,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410 : 219,531 = 219,531 : x
  2. Step 2: Convert to fraction form
    141,410/219,531 = 219,531/x
  3. Step 3: Cross multiply
    141,410x = 219,531 × 219,531
  4. Step 4: Simplify right side
    141,410x = 48,193,859,961
  5. Step 5: Solve for x
    x = 48,193,859,961/141,410
  6. Step 6: Final answer
    x = 340,809.42

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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.