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Finding the Third Proportional to 150,044 and 325,848

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Solution

The third proportional to 150,044 and 325,848 is: 707,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,044 : 325,848 = 325,848 : x
  2. Step 2: Convert to fraction form
    150,044/325,848 = 325,848/x
  3. Step 3: Cross multiply
    150,044x = 325,848 × 325,848
  4. Step 4: Simplify right side
    150,044x = 106,176,919,104
  5. Step 5: Solve for x
    x = 106,176,919,104/150,044
  6. Step 6: Final answer
    x = 707,638.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.