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Finding the Third Proportional to 190,058.06 and 413,186.06

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Solution

The third proportional to 190,058.06 and 413,186.06 is: 898,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,058.06 : 413,186.06 = 413,186.06 : x
  2. Step 2: Convert to fraction form
    190,058.06/413,186.06 = 413,186.06/x
  3. Step 3: Cross multiply
    190,058.06x = 413,186.06 × 413,186.06
  4. Step 4: Simplify right side
    190,058.06x = 170,722,722,244.25
  5. Step 5: Solve for x
    x = 170,722,722,244.25/190,058.06
  6. Step 6: Final answer
    x = 898,266.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.