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Finding the Third Proportional to 154,548 and 325,971

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Solution

The third proportional to 154,548 and 325,971 is: 687,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,548 : 325,971 = 325,971 : x
  2. Step 2: Convert to fraction form
    154,548/325,971 = 325,971/x
  3. Step 3: Cross multiply
    154,548x = 325,971 × 325,971
  4. Step 4: Simplify right side
    154,548x = 106,257,092,841
  5. Step 5: Solve for x
    x = 106,257,092,841/154,548
  6. Step 6: Final answer
    x = 687,534.57

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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.