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Finding the Third Proportional to 256,076 and 339,807

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Solution

The third proportional to 256,076 and 339,807 is: 450,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076 : 339,807 = 339,807 : x
  2. Step 2: Convert to fraction form
    256,076/339,807 = 339,807/x
  3. Step 3: Cross multiply
    256,076x = 339,807 × 339,807
  4. Step 4: Simplify right side
    256,076x = 115,468,797,249
  5. Step 5: Solve for x
    x = 115,468,797,249/256,076
  6. Step 6: Final answer
    x = 450,916.12

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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.