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Finding the Third Proportional to 139,061 and 304,257

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Solution

The third proportional to 139,061 and 304,257 is: 665,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,061 : 304,257 = 304,257 : x
  2. Step 2: Convert to fraction form
    139,061/304,257 = 304,257/x
  3. Step 3: Cross multiply
    139,061x = 304,257 × 304,257
  4. Step 4: Simplify right side
    139,061x = 92,572,322,049
  5. Step 5: Solve for x
    x = 92,572,322,049/139,061
  6. Step 6: Final answer
    x = 665,695.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.