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Finding the Third Proportional to 256,014 and 402,165

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Solution

The third proportional to 256,014 and 402,165 is: 631,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,014 : 402,165 = 402,165 : x
  2. Step 2: Convert to fraction form
    256,014/402,165 = 402,165/x
  3. Step 3: Cross multiply
    256,014x = 402,165 × 402,165
  4. Step 4: Simplify right side
    256,014x = 161,736,687,225
  5. Step 5: Solve for x
    x = 161,736,687,225/256,014
  6. Step 6: Final answer
    x = 631,749.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.