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Finding the Third Proportional to 150,717 and 325,095

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Solution

The third proportional to 150,717 and 325,095 is: 701,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,717 : 325,095 = 325,095 : x
  2. Step 2: Convert to fraction form
    150,717/325,095 = 325,095/x
  3. Step 3: Cross multiply
    150,717x = 325,095 × 325,095
  4. Step 4: Simplify right side
    150,717x = 105,686,759,025
  5. Step 5: Solve for x
    x = 105,686,759,025/150,717
  6. Step 6: Final answer
    x = 701,226.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.