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Finding the Third Proportional to 197,024.25 and 312,030.75

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Solution

The third proportional to 197,024.25 and 312,030.75 is: 494,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,024.25 : 312,030.75 = 312,030.75 : x
  2. Step 2: Convert to fraction form
    197,024.25/312,030.75 = 312,030.75/x
  3. Step 3: Cross multiply
    197,024.25x = 312,030.75 × 312,030.75
  4. Step 4: Simplify right side
    197,024.25x = 97,363,188,945.56
  5. Step 5: Solve for x
    x = 97,363,188,945.56/197,024.25
  6. Step 6: Final answer
    x = 494,168.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.