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Finding the Third Proportional to 144,892 and 307,226

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Solution

The third proportional to 144,892 and 307,226 is: 651,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,892 : 307,226 = 307,226 : x
  2. Step 2: Convert to fraction form
    144,892/307,226 = 307,226/x
  3. Step 3: Cross multiply
    144,892x = 307,226 × 307,226
  4. Step 4: Simplify right side
    144,892x = 94,387,815,076
  5. Step 5: Solve for x
    x = 94,387,815,076/144,892
  6. Step 6: Final answer
    x = 651,435.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.