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Finding the Third Proportional to 139,462 and 286,276

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Solution

The third proportional to 139,462 and 286,276 is: 587,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,462 : 286,276 = 286,276 : x
  2. Step 2: Convert to fraction form
    139,462/286,276 = 286,276/x
  3. Step 3: Cross multiply
    139,462x = 286,276 × 286,276
  4. Step 4: Simplify right side
    139,462x = 81,953,948,176
  5. Step 5: Solve for x
    x = 81,953,948,176/139,462
  6. Step 6: Final answer
    x = 587,643.57

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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.