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Finding the Third Proportional to 150,967 and 325,578.25

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Solution

The third proportional to 150,967 and 325,578.25 is: 702,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,967 : 325,578.25 = 325,578.25 : x
  2. Step 2: Convert to fraction form
    150,967/325,578.25 = 325,578.25/x
  3. Step 3: Cross multiply
    150,967x = 325,578.25 × 325,578.25
  4. Step 4: Simplify right side
    150,967x = 106,001,196,873.06
  5. Step 5: Solve for x
    x = 106,001,196,873.06/150,967
  6. Step 6: Final answer
    x = 702,148.13

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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.