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Finding the Third Proportional to 152,030 and 323,744

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Solution

The third proportional to 152,030 and 323,744 is: 689,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,030 : 323,744 = 323,744 : x
  2. Step 2: Convert to fraction form
    152,030/323,744 = 323,744/x
  3. Step 3: Cross multiply
    152,030x = 323,744 × 323,744
  4. Step 4: Simplify right side
    152,030x = 104,810,177,536
  5. Step 5: Solve for x
    x = 104,810,177,536/152,030
  6. Step 6: Final answer
    x = 689,404.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.