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Finding the Third Proportional to 141,285 and 306,870

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Solution

The third proportional to 141,285 and 306,870 is: 666,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,285 : 306,870 = 306,870 : x
  2. Step 2: Convert to fraction form
    141,285/306,870 = 306,870/x
  3. Step 3: Cross multiply
    141,285x = 306,870 × 306,870
  4. Step 4: Simplify right side
    141,285x = 94,169,196,900
  5. Step 5: Solve for x
    x = 94,169,196,900/141,285
  6. Step 6: Final answer
    x = 666,519.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.