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Finding the Third Proportional to 147,464 and 322,525

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Solution

The third proportional to 147,464 and 322,525 is: 705,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,464 : 322,525 = 322,525 : x
  2. Step 2: Convert to fraction form
    147,464/322,525 = 322,525/x
  3. Step 3: Cross multiply
    147,464x = 322,525 × 322,525
  4. Step 4: Simplify right side
    147,464x = 104,022,375,625
  5. Step 5: Solve for x
    x = 104,022,375,625/147,464
  6. Step 6: Final answer
    x = 705,408.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.