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Finding the Third Proportional to 187,036 and 282,518

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Solution

The third proportional to 187,036 and 282,518 is: 426,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,036 : 282,518 = 282,518 : x
  2. Step 2: Convert to fraction form
    187,036/282,518 = 282,518/x
  3. Step 3: Cross multiply
    187,036x = 282,518 × 282,518
  4. Step 4: Simplify right side
    187,036x = 79,816,420,324
  5. Step 5: Solve for x
    x = 79,816,420,324/187,036
  6. Step 6: Final answer
    x = 426,743.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.