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Finding the Third Proportional to 147,972 and 323,625

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Solution

The third proportional to 147,972 and 323,625 is: 707,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,972 : 323,625 = 323,625 : x
  2. Step 2: Convert to fraction form
    147,972/323,625 = 323,625/x
  3. Step 3: Cross multiply
    147,972x = 323,625 × 323,625
  4. Step 4: Simplify right side
    147,972x = 104,733,140,625
  5. Step 5: Solve for x
    x = 104,733,140,625/147,972
  6. Step 6: Final answer
    x = 707,790.26

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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.