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Finding the Third Proportional to 85,510.50 and 197,937

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Solution

The third proportional to 85,510.50 and 197,937 is: 458,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,510.50 : 197,937 = 197,937 : x
  2. Step 2: Convert to fraction form
    85,510.50/197,937 = 197,937/x
  3. Step 3: Cross multiply
    85,510.50x = 197,937 × 197,937
  4. Step 4: Simplify right side
    85,510.50x = 39,179,055,969
  5. Step 5: Solve for x
    x = 39,179,055,969/85,510.50
  6. Step 6: Final answer
    x = 458,178.31

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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.