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Finding the Third Proportional to 85,453.75 and 186,998

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Solution

The third proportional to 85,453.75 and 186,998 is: 409,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,453.75 : 186,998 = 186,998 : x
  2. Step 2: Convert to fraction form
    85,453.75/186,998 = 186,998/x
  3. Step 3: Cross multiply
    85,453.75x = 186,998 × 186,998
  4. Step 4: Simplify right side
    85,453.75x = 34,968,252,004
  5. Step 5: Solve for x
    x = 34,968,252,004/85,453.75
  6. Step 6: Final answer
    x = 409,206.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.