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Finding the Third Proportional to 187,401 and 408,062

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Solution

The third proportional to 187,401 and 408,062 is: 888,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,401 : 408,062 = 408,062 : x
  2. Step 2: Convert to fraction form
    187,401/408,062 = 408,062/x
  3. Step 3: Cross multiply
    187,401x = 408,062 × 408,062
  4. Step 4: Simplify right side
    187,401x = 166,514,595,844
  5. Step 5: Solve for x
    x = 166,514,595,844/187,401
  6. Step 6: Final answer
    x = 888,547.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.