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Finding the Third Proportional to 154,422 and 325,044

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Solution

The third proportional to 154,422 and 325,044 is: 684,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422 : 325,044 = 325,044 : x
  2. Step 2: Convert to fraction form
    154,422/325,044 = 325,044/x
  3. Step 3: Cross multiply
    154,422x = 325,044 × 325,044
  4. Step 4: Simplify right side
    154,422x = 105,653,601,936
  5. Step 5: Solve for x
    x = 105,653,601,936/154,422
  6. Step 6: Final answer
    x = 684,187.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.