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Finding the Third Proportional to 264,002 and 350,070

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Solution

The third proportional to 264,002 and 350,070 is: 464,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002 : 350,070 = 350,070 : x
  2. Step 2: Convert to fraction form
    264,002/350,070 = 350,070/x
  3. Step 3: Cross multiply
    264,002x = 350,070 × 350,070
  4. Step 4: Simplify right side
    264,002x = 122,549,004,900
  5. Step 5: Solve for x
    x = 122,549,004,900/264,002
  6. Step 6: Final answer
    x = 464,197.26

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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.