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Finding the Third Proportional to 137,956 and 256,220

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Solution

The third proportional to 137,956 and 256,220 is: 475,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956 : 256,220 = 256,220 : x
  2. Step 2: Convert to fraction form
    137,956/256,220 = 256,220/x
  3. Step 3: Cross multiply
    137,956x = 256,220 × 256,220
  4. Step 4: Simplify right side
    137,956x = 65,648,688,400
  5. Step 5: Solve for x
    x = 65,648,688,400/137,956
  6. Step 6: Final answer
    x = 475,866.86

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.