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Finding the Third Proportional to 139,093 and 300,359

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Solution

The third proportional to 139,093 and 300,359 is: 648,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,093 : 300,359 = 300,359 : x
  2. Step 2: Convert to fraction form
    139,093/300,359 = 300,359/x
  3. Step 3: Cross multiply
    139,093x = 300,359 × 300,359
  4. Step 4: Simplify right side
    139,093x = 90,215,528,881
  5. Step 5: Solve for x
    x = 90,215,528,881/139,093
  6. Step 6: Final answer
    x = 648,598.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.