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Finding the Third Proportional to 163,046 and 214,405

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Solution

The third proportional to 163,046 and 214,405 is: 281,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,046 : 214,405 = 214,405 : x
  2. Step 2: Convert to fraction form
    163,046/214,405 = 214,405/x
  3. Step 3: Cross multiply
    163,046x = 214,405 × 214,405
  4. Step 4: Simplify right side
    163,046x = 45,969,504,025
  5. Step 5: Solve for x
    x = 45,969,504,025/163,046
  6. Step 6: Final answer
    x = 281,941.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.