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Finding the Third Proportional to 190,684 and 280,518

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Solution

The third proportional to 190,684 and 280,518 is: 412,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,684 : 280,518 = 280,518 : x
  2. Step 2: Convert to fraction form
    190,684/280,518 = 280,518/x
  3. Step 3: Cross multiply
    190,684x = 280,518 × 280,518
  4. Step 4: Simplify right side
    190,684x = 78,690,348,324
  5. Step 5: Solve for x
    x = 78,690,348,324/190,684
  6. Step 6: Final answer
    x = 412,674.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.