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Finding the Third Proportional to 154,470 and 338,462

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Solution

The third proportional to 154,470 and 338,462 is: 741,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,470 : 338,462 = 338,462 : x
  2. Step 2: Convert to fraction form
    154,470/338,462 = 338,462/x
  3. Step 3: Cross multiply
    154,470x = 338,462 × 338,462
  4. Step 4: Simplify right side
    154,470x = 114,556,525,444
  5. Step 5: Solve for x
    x = 114,556,525,444/154,470
  6. Step 6: Final answer
    x = 741,610.19

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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.