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Finding the Third Proportional to 139,156 and 297,988

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Solution

The third proportional to 139,156 and 297,988 is: 638,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,156 : 297,988 = 297,988 : x
  2. Step 2: Convert to fraction form
    139,156/297,988 = 297,988/x
  3. Step 3: Cross multiply
    139,156x = 297,988 × 297,988
  4. Step 4: Simplify right side
    139,156x = 88,796,848,144
  5. Step 5: Solve for x
    x = 88,796,848,144/139,156
  6. Step 6: Final answer
    x = 638,110.09

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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.