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Finding the Third Proportional to 141,927.19 and 309,976.88

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Solution

The third proportional to 141,927.19 and 309,976.88 is: 677,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,927.19 : 309,976.88 = 309,976.88 : x
  2. Step 2: Convert to fraction form
    141,927.19/309,976.88 = 309,976.88/x
  3. Step 3: Cross multiply
    141,927.19x = 309,976.88 × 309,976.88
  4. Step 4: Simplify right side
    141,927.19x = 96,085,663,034.77
  5. Step 5: Solve for x
    x = 96,085,663,034.77/141,927.19
  6. Step 6: Final answer
    x = 677,006.74

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Why These Related Problems?

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