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Finding the Third Proportional to 169,512 and 230,217

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Solution

The third proportional to 169,512 and 230,217 is: 312,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,512 : 230,217 = 230,217 : x
  2. Step 2: Convert to fraction form
    169,512/230,217 = 230,217/x
  3. Step 3: Cross multiply
    169,512x = 230,217 × 230,217
  4. Step 4: Simplify right side
    169,512x = 52,999,867,089
  5. Step 5: Solve for x
    x = 52,999,867,089/169,512
  6. Step 6: Final answer
    x = 312,661.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.