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Finding the Third Proportional to 139,469 and 286,290

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Solution

The third proportional to 139,469 and 286,290 is: 587,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,469 : 286,290 = 286,290 : x
  2. Step 2: Convert to fraction form
    139,469/286,290 = 286,290/x
  3. Step 3: Cross multiply
    139,469x = 286,290 × 286,290
  4. Step 4: Simplify right side
    139,469x = 81,961,964,100
  5. Step 5: Solve for x
    x = 81,961,964,100/139,469
  6. Step 6: Final answer
    x = 587,671.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.