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Finding the Third Proportional to 187,264 and 404,455

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Solution

The third proportional to 187,264 and 404,455 is: 873,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,264 : 404,455 = 404,455 : x
  2. Step 2: Convert to fraction form
    187,264/404,455 = 404,455/x
  3. Step 3: Cross multiply
    187,264x = 404,455 × 404,455
  4. Step 4: Simplify right side
    187,264x = 163,583,847,025
  5. Step 5: Solve for x
    x = 163,583,847,025/187,264
  6. Step 6: Final answer
    x = 873,546.69

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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.