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Finding the Third Proportional to 152,660 and 325,610

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Solution

The third proportional to 152,660 and 325,610 is: 694,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,660 : 325,610 = 325,610 : x
  2. Step 2: Convert to fraction form
    152,660/325,610 = 325,610/x
  3. Step 3: Cross multiply
    152,660x = 325,610 × 325,610
  4. Step 4: Simplify right side
    152,660x = 106,021,872,100
  5. Step 5: Solve for x
    x = 106,021,872,100/152,660
  6. Step 6: Final answer
    x = 694,496.74

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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.