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Finding the Third Proportional to 141,024.38 and 211,809.94

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Solution

The third proportional to 141,024.38 and 211,809.94 is: 318,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,024.38 : 211,809.94 = 211,809.94 : x
  2. Step 2: Convert to fraction form
    141,024.38/211,809.94 = 211,809.94/x
  3. Step 3: Cross multiply
    141,024.38x = 211,809.94 × 211,809.94
  4. Step 4: Simplify right side
    141,024.38x = 44,863,449,623.75
  5. Step 5: Solve for x
    x = 44,863,449,623.75/141,024.38
  6. Step 6: Final answer
    x = 318,125.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.