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Finding the Third Proportional to 85,326 and 186,203.50

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Solution

The third proportional to 85,326 and 186,203.50 is: 406,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,326 : 186,203.50 = 186,203.50 : x
  2. Step 2: Convert to fraction form
    85,326/186,203.50 = 186,203.50/x
  3. Step 3: Cross multiply
    85,326x = 186,203.50 × 186,203.50
  4. Step 4: Simplify right side
    85,326x = 34,671,743,412.25
  5. Step 5: Solve for x
    x = 34,671,743,412.25/85,326
  6. Step 6: Final answer
    x = 406,344.41

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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.