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Finding the Third Proportional to 147,692 and 324,907

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Solution

The third proportional to 147,692 and 324,907 is: 714,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,692 : 324,907 = 324,907 : x
  2. Step 2: Convert to fraction form
    147,692/324,907 = 324,907/x
  3. Step 3: Cross multiply
    147,692x = 324,907 × 324,907
  4. Step 4: Simplify right side
    147,692x = 105,564,558,649
  5. Step 5: Solve for x
    x = 105,564,558,649/147,692
  6. Step 6: Final answer
    x = 714,761.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.