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Finding the Third Proportional to 151,014 and 325,671

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Solution

The third proportional to 151,014 and 325,671 is: 702,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,014 : 325,671 = 325,671 : x
  2. Step 2: Convert to fraction form
    151,014/325,671 = 325,671/x
  3. Step 3: Cross multiply
    151,014x = 325,671 × 325,671
  4. Step 4: Simplify right side
    151,014x = 106,061,600,241
  5. Step 5: Solve for x
    x = 106,061,600,241/151,014
  6. Step 6: Final answer
    x = 702,329.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.