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Finding the Third Proportional to 139,074 and 304,392

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Solution

The third proportional to 139,074 and 304,392 is: 666,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,074 : 304,392 = 304,392 : x
  2. Step 2: Convert to fraction form
    139,074/304,392 = 304,392/x
  3. Step 3: Cross multiply
    139,074x = 304,392 × 304,392
  4. Step 4: Simplify right side
    139,074x = 92,654,489,664
  5. Step 5: Solve for x
    x = 92,654,489,664/139,074
  6. Step 6: Final answer
    x = 666,224.38

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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.