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Finding the Third Proportional to 161,267 and 256,202

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Solution

The third proportional to 161,267 and 256,202 is: 407,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,267 : 256,202 = 256,202 : x
  2. Step 2: Convert to fraction form
    161,267/256,202 = 256,202/x
  3. Step 3: Cross multiply
    161,267x = 256,202 × 256,202
  4. Step 4: Simplify right side
    161,267x = 65,639,464,804
  5. Step 5: Solve for x
    x = 65,639,464,804/161,267
  6. Step 6: Final answer
    x = 407,023.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.