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Finding the Third Proportional to 139,394 and 286,180

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Solution

The third proportional to 139,394 and 286,180 is: 587,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,394 : 286,180 = 286,180 : x
  2. Step 2: Convert to fraction form
    139,394/286,180 = 286,180/x
  3. Step 3: Cross multiply
    139,394x = 286,180 × 286,180
  4. Step 4: Simplify right side
    139,394x = 81,898,992,400
  5. Step 5: Solve for x
    x = 81,898,992,400/139,394
  6. Step 6: Final answer
    x = 587,535.99

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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.