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Finding the Third Proportional to 150,034 and 325,828

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Solution

The third proportional to 150,034 and 325,828 is: 707,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,034 : 325,828 = 325,828 : x
  2. Step 2: Convert to fraction form
    150,034/325,828 = 325,828/x
  3. Step 3: Cross multiply
    150,034x = 325,828 × 325,828
  4. Step 4: Simplify right side
    150,034x = 106,163,885,584
  5. Step 5: Solve for x
    x = 106,163,885,584/150,034
  6. Step 6: Final answer
    x = 707,598.85

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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.