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Finding the Third Proportional to 264,008 and 350,078

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Solution

The third proportional to 264,008 and 350,078 is: 464,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,008 : 350,078 = 350,078 : x
  2. Step 2: Convert to fraction form
    264,008/350,078 = 350,078/x
  3. Step 3: Cross multiply
    264,008x = 350,078 × 350,078
  4. Step 4: Simplify right side
    264,008x = 122,554,606,084
  5. Step 5: Solve for x
    x = 122,554,606,084/264,008
  6. Step 6: Final answer
    x = 464,207.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.