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Finding the Third Proportional to 256,850 and 340,813

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Solution

The third proportional to 256,850 and 340,813 is: 452,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,850 : 340,813 = 340,813 : x
  2. Step 2: Convert to fraction form
    256,850/340,813 = 340,813/x
  3. Step 3: Cross multiply
    256,850x = 340,813 × 340,813
  4. Step 4: Simplify right side
    256,850x = 116,153,500,969
  5. Step 5: Solve for x
    x = 116,153,500,969/256,850
  6. Step 6: Final answer
    x = 452,223.09

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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.