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Finding the Third Proportional to 147,152 and 327,613

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Solution

The third proportional to 147,152 and 327,613 is: 729,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,152 : 327,613 = 327,613 : x
  2. Step 2: Convert to fraction form
    147,152/327,613 = 327,613/x
  3. Step 3: Cross multiply
    147,152x = 327,613 × 327,613
  4. Step 4: Simplify right side
    147,152x = 107,330,277,769
  5. Step 5: Solve for x
    x = 107,330,277,769/147,152
  6. Step 6: Final answer
    x = 729,383.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.