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Finding the Third Proportional to 187,290 and 404,514

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Solution

The third proportional to 187,290 and 404,514 is: 873,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,290 : 404,514 = 404,514 : x
  2. Step 2: Convert to fraction form
    187,290/404,514 = 404,514/x
  3. Step 3: Cross multiply
    187,290x = 404,514 × 404,514
  4. Step 4: Simplify right side
    187,290x = 163,631,576,196
  5. Step 5: Solve for x
    x = 163,631,576,196/187,290
  6. Step 6: Final answer
    x = 873,680.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.