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Finding the Third Proportional to 139,390 and 296,761

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Solution

The third proportional to 139,390 and 296,761 is: 631,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,390 : 296,761 = 296,761 : x
  2. Step 2: Convert to fraction form
    139,390/296,761 = 296,761/x
  3. Step 3: Cross multiply
    139,390x = 296,761 × 296,761
  4. Step 4: Simplify right side
    139,390x = 88,067,091,121
  5. Step 5: Solve for x
    x = 88,067,091,121/139,390
  6. Step 6: Final answer
    x = 631,803.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.