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Finding the Third Proportional to 197,294 and 320,538

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Solution

The third proportional to 197,294 and 320,538 is: 520,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,294 : 320,538 = 320,538 : x
  2. Step 2: Convert to fraction form
    197,294/320,538 = 320,538/x
  3. Step 3: Cross multiply
    197,294x = 320,538 × 320,538
  4. Step 4: Simplify right side
    197,294x = 102,744,609,444
  5. Step 5: Solve for x
    x = 102,744,609,444/197,294
  6. Step 6: Final answer
    x = 520,769.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.