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Finding the Third Proportional to 169,500 and 230,202

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Solution

The third proportional to 169,500 and 230,202 is: 312,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,500 : 230,202 = 230,202 : x
  2. Step 2: Convert to fraction form
    169,500/230,202 = 230,202/x
  3. Step 3: Cross multiply
    169,500x = 230,202 × 230,202
  4. Step 4: Simplify right side
    169,500x = 52,992,960,804
  5. Step 5: Solve for x
    x = 52,992,960,804/169,500
  6. Step 6: Final answer
    x = 312,642.84

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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.