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Finding the Third Proportional to 150,968 and 325,582

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Solution

The third proportional to 150,968 and 325,582 is: 702,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,968 : 325,582 = 325,582 : x
  2. Step 2: Convert to fraction form
    150,968/325,582 = 325,582/x
  3. Step 3: Cross multiply
    150,968x = 325,582 × 325,582
  4. Step 4: Simplify right side
    150,968x = 106,003,638,724
  5. Step 5: Solve for x
    x = 106,003,638,724/150,968
  6. Step 6: Final answer
    x = 702,159.65

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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.