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Finding the Third Proportional to 169,534 and 230,242

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Solution

The third proportional to 169,534 and 230,242 is: 312,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,534 : 230,242 = 230,242 : x
  2. Step 2: Convert to fraction form
    169,534/230,242 = 230,242/x
  3. Step 3: Cross multiply
    169,534x = 230,242 × 230,242
  4. Step 4: Simplify right side
    169,534x = 53,011,378,564
  5. Step 5: Solve for x
    x = 53,011,378,564/169,534
  6. Step 6: Final answer
    x = 312,688.77

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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.