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Finding the Third Proportional to 197,152 and 320,334

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Solution

The third proportional to 197,152 and 320,334 is: 520,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,152 : 320,334 = 320,334 : x
  2. Step 2: Convert to fraction form
    197,152/320,334 = 320,334/x
  3. Step 3: Cross multiply
    197,152x = 320,334 × 320,334
  4. Step 4: Simplify right side
    197,152x = 102,613,871,556
  5. Step 5: Solve for x
    x = 102,613,871,556/197,152
  6. Step 6: Final answer
    x = 520,481.01

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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.