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Finding the Third Proportional to 141,930 and 309,981.75

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Solution

The third proportional to 141,930 and 309,981.75 is: 677,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,930 : 309,981.75 = 309,981.75 : x
  2. Step 2: Convert to fraction form
    141,930/309,981.75 = 309,981.75/x
  3. Step 3: Cross multiply
    141,930x = 309,981.75 × 309,981.75
  4. Step 4: Simplify right side
    141,930x = 96,088,685,333.06
  5. Step 5: Solve for x
    x = 96,088,685,333.06/141,930
  6. Step 6: Final answer
    x = 677,014.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.