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Finding the Third Proportional to 139,680 and 303,656

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Solution

The third proportional to 139,680 and 303,656 is: 660,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,680 : 303,656 = 303,656 : x
  2. Step 2: Convert to fraction form
    139,680/303,656 = 303,656/x
  3. Step 3: Cross multiply
    139,680x = 303,656 × 303,656
  4. Step 4: Simplify right side
    139,680x = 92,206,966,336
  5. Step 5: Solve for x
    x = 92,206,966,336/139,680
  6. Step 6: Final answer
    x = 660,130.06

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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.