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Finding the Third Proportional to 85,855 and 186,484

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Solution

The third proportional to 85,855 and 186,484 is: 405,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,855 : 186,484 = 186,484 : x
  2. Step 2: Convert to fraction form
    85,855/186,484 = 186,484/x
  3. Step 3: Cross multiply
    85,855x = 186,484 × 186,484
  4. Step 4: Simplify right side
    85,855x = 34,776,282,256
  5. Step 5: Solve for x
    x = 34,776,282,256/85,855
  6. Step 6: Final answer
    x = 405,058.32

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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.