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Finding the Third Proportional to 139,157 and 297,991

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Solution

The third proportional to 139,157 and 297,991 is: 638,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,157 : 297,991 = 297,991 : x
  2. Step 2: Convert to fraction form
    139,157/297,991 = 297,991/x
  3. Step 3: Cross multiply
    139,157x = 297,991 × 297,991
  4. Step 4: Simplify right side
    139,157x = 88,798,636,081
  5. Step 5: Solve for x
    x = 88,798,636,081/139,157
  6. Step 6: Final answer
    x = 638,118.36

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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.