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Finding the Third Proportional to 256,840 and 340,890

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Solution

The third proportional to 256,840 and 340,890 is: 452,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,840 : 340,890 = 340,890 : x
  2. Step 2: Convert to fraction form
    256,840/340,890 = 340,890/x
  3. Step 3: Cross multiply
    256,840x = 340,890 × 340,890
  4. Step 4: Simplify right side
    256,840x = 116,205,992,100
  5. Step 5: Solve for x
    x = 116,205,992,100/256,840
  6. Step 6: Final answer
    x = 452,445.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.