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Finding the Third Proportional to 139,019 and 297,721

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Solution

The third proportional to 139,019 and 297,721 is: 637,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,019 : 297,721 = 297,721 : x
  2. Step 2: Convert to fraction form
    139,019/297,721 = 297,721/x
  3. Step 3: Cross multiply
    139,019x = 297,721 × 297,721
  4. Step 4: Simplify right side
    139,019x = 88,637,793,841
  5. Step 5: Solve for x
    x = 88,637,793,841/139,019
  6. Step 6: Final answer
    x = 637,594.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.