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Finding the Third Proportional to 141,992 and 302,929

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Solution

The third proportional to 141,992 and 302,929 is: 646,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,992 : 302,929 = 302,929 : x
  2. Step 2: Convert to fraction form
    141,992/302,929 = 302,929/x
  3. Step 3: Cross multiply
    141,992x = 302,929 × 302,929
  4. Step 4: Simplify right side
    141,992x = 91,765,979,041
  5. Step 5: Solve for x
    x = 91,765,979,041/141,992
  6. Step 6: Final answer
    x = 646,275.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.