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Finding the Third Proportional to 141,776 and 306,832

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Solution

The third proportional to 141,776 and 306,832 is: 664,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,776 : 306,832 = 306,832 : x
  2. Step 2: Convert to fraction form
    141,776/306,832 = 306,832/x
  3. Step 3: Cross multiply
    141,776x = 306,832 × 306,832
  4. Step 4: Simplify right side
    141,776x = 94,145,876,224
  5. Step 5: Solve for x
    x = 94,145,876,224/141,776
  6. Step 6: Final answer
    x = 664,046.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.