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Finding the Third Proportional to 256,846 and 340,807

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Solution

The third proportional to 256,846 and 340,807 is: 452,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846 : 340,807 = 340,807 : x
  2. Step 2: Convert to fraction form
    256,846/340,807 = 340,807/x
  3. Step 3: Cross multiply
    256,846x = 340,807 × 340,807
  4. Step 4: Simplify right side
    256,846x = 116,149,411,249
  5. Step 5: Solve for x
    x = 116,149,411,249/256,846
  6. Step 6: Final answer
    x = 452,214.21

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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.