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Finding the Third Proportional to 140,194 and 307,529

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Solution

The third proportional to 140,194 and 307,529 is: 674,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,194 : 307,529 = 307,529 : x
  2. Step 2: Convert to fraction form
    140,194/307,529 = 307,529/x
  3. Step 3: Cross multiply
    140,194x = 307,529 × 307,529
  4. Step 4: Simplify right side
    140,194x = 94,574,085,841
  5. Step 5: Solve for x
    x = 94,574,085,841/140,194
  6. Step 6: Final answer
    x = 674,594.39

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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.