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Finding the Third Proportional to 85,513.50 and 197,954.50

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Solution

The third proportional to 85,513.50 and 197,954.50 is: 458,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,513.50 : 197,954.50 = 197,954.50 : x
  2. Step 2: Convert to fraction form
    85,513.50/197,954.50 = 197,954.50/x
  3. Step 3: Cross multiply
    85,513.50x = 197,954.50 × 197,954.50
  4. Step 4: Simplify right side
    85,513.50x = 39,185,984,070.25
  5. Step 5: Solve for x
    x = 39,185,984,070.25/85,513.50
  6. Step 6: Final answer
    x = 458,243.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.