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Finding the Third Proportional to 153,094 and 336,078

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Solution

The third proportional to 153,094 and 336,078 is: 737,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,094 : 336,078 = 336,078 : x
  2. Step 2: Convert to fraction form
    153,094/336,078 = 336,078/x
  3. Step 3: Cross multiply
    153,094x = 336,078 × 336,078
  4. Step 4: Simplify right side
    153,094x = 112,948,422,084
  5. Step 5: Solve for x
    x = 112,948,422,084/153,094
  6. Step 6: Final answer
    x = 737,771.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.