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Finding the Third Proportional to 154,248 and 338,016

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Solution

The third proportional to 154,248 and 338,016 is: 740,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,248 : 338,016 = 338,016 : x
  2. Step 2: Convert to fraction form
    154,248/338,016 = 338,016/x
  3. Step 3: Cross multiply
    154,248x = 338,016 × 338,016
  4. Step 4: Simplify right side
    154,248x = 114,254,816,256
  5. Step 5: Solve for x
    x = 114,254,816,256/154,248
  6. Step 6: Final answer
    x = 740,721.54

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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.