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Finding the Third Proportional to 187,033.50 and 282,514.50

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Solution

The third proportional to 187,033.50 and 282,514.50 is: 426,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,033.50 : 282,514.50 = 282,514.50 : x
  2. Step 2: Convert to fraction form
    187,033.50/282,514.50 = 282,514.50/x
  3. Step 3: Cross multiply
    187,033.50x = 282,514.50 × 282,514.50
  4. Step 4: Simplify right side
    187,033.50x = 79,814,442,710.25
  5. Step 5: Solve for x
    x = 79,814,442,710.25/187,033.50
  6. Step 6: Final answer
    x = 426,738.75

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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.