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Finding the Third Proportional to 139,551 and 290,910

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Solution

The third proportional to 139,551 and 290,910 is: 606,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,551 : 290,910 = 290,910 : x
  2. Step 2: Convert to fraction form
    139,551/290,910 = 290,910/x
  3. Step 3: Cross multiply
    139,551x = 290,910 × 290,910
  4. Step 4: Simplify right side
    139,551x = 84,628,628,100
  5. Step 5: Solve for x
    x = 84,628,628,100/139,551
  6. Step 6: Final answer
    x = 606,435.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.