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Finding the Third Proportional to 187,899.75 and 438,514

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Solution

The third proportional to 187,899.75 and 438,514 is: 1,023,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,899.75 : 438,514 = 438,514 : x
  2. Step 2: Convert to fraction form
    187,899.75/438,514 = 438,514/x
  3. Step 3: Cross multiply
    187,899.75x = 438,514 × 438,514
  4. Step 4: Simplify right side
    187,899.75x = 192,294,528,196
  5. Step 5: Solve for x
    x = 192,294,528,196/187,899.75
  6. Step 6: Final answer
    x = 1,023,388.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.