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Finding the Third Proportional to 141,850 and 307,338

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Solution

The third proportional to 141,850 and 307,338 is: 665,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,850 : 307,338 = 307,338 : x
  2. Step 2: Convert to fraction form
    141,850/307,338 = 307,338/x
  3. Step 3: Cross multiply
    141,850x = 307,338 × 307,338
  4. Step 4: Simplify right side
    141,850x = 94,456,646,244
  5. Step 5: Solve for x
    x = 94,456,646,244/141,850
  6. Step 6: Final answer
    x = 665,891.06

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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.