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Finding the Third Proportional to 140,648 and 286,518

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Solution

The third proportional to 140,648 and 286,518 is: 583,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648 : 286,518 = 286,518 : x
  2. Step 2: Convert to fraction form
    140,648/286,518 = 286,518/x
  3. Step 3: Cross multiply
    140,648x = 286,518 × 286,518
  4. Step 4: Simplify right side
    140,648x = 82,092,564,324
  5. Step 5: Solve for x
    x = 82,092,564,324/140,648
  6. Step 6: Final answer
    x = 583,673.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.