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Finding the Third Proportional to 169,499 and 230,201

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Solution

The third proportional to 169,499 and 230,201 is: 312,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,499 : 230,201 = 230,201 : x
  2. Step 2: Convert to fraction form
    169,499/230,201 = 230,201/x
  3. Step 3: Cross multiply
    169,499x = 230,201 × 230,201
  4. Step 4: Simplify right side
    169,499x = 52,992,500,401
  5. Step 5: Solve for x
    x = 52,992,500,401/169,499
  6. Step 6: Final answer
    x = 312,641.96

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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.