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Finding the Third Proportional to 154,532 and 325,946

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Solution

The third proportional to 154,532 and 325,946 is: 687,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,532 : 325,946 = 325,946 : x
  2. Step 2: Convert to fraction form
    154,532/325,946 = 325,946/x
  3. Step 3: Cross multiply
    154,532x = 325,946 × 325,946
  4. Step 4: Simplify right side
    154,532x = 106,240,794,916
  5. Step 5: Solve for x
    x = 106,240,794,916/154,532
  6. Step 6: Final answer
    x = 687,500.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.