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Finding the Third Proportional to 264,038 and 351,957

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Solution

The third proportional to 264,038 and 351,957 is: 469,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,038 : 351,957 = 351,957 : x
  2. Step 2: Convert to fraction form
    264,038/351,957 = 351,957/x
  3. Step 3: Cross multiply
    264,038x = 351,957 × 351,957
  4. Step 4: Simplify right side
    264,038x = 123,873,729,849
  5. Step 5: Solve for x
    x = 123,873,729,849/264,038
  6. Step 6: Final answer
    x = 469,151.14

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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.