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Finding the Third Proportional to 148,940 and 321,208

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Solution

The third proportional to 148,940 and 321,208 is: 692,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,940 : 321,208 = 321,208 : x
  2. Step 2: Convert to fraction form
    148,940/321,208 = 321,208/x
  3. Step 3: Cross multiply
    148,940x = 321,208 × 321,208
  4. Step 4: Simplify right side
    148,940x = 103,174,579,264
  5. Step 5: Solve for x
    x = 103,174,579,264/148,940
  6. Step 6: Final answer
    x = 692,725.79

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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.