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Finding the Third Proportional to 169,258 and 262,927

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Solution

The third proportional to 169,258 and 262,927 is: 408,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,258 : 262,927 = 262,927 : x
  2. Step 2: Convert to fraction form
    169,258/262,927 = 262,927/x
  3. Step 3: Cross multiply
    169,258x = 262,927 × 262,927
  4. Step 4: Simplify right side
    169,258x = 69,130,607,329
  5. Step 5: Solve for x
    x = 69,130,607,329/169,258
  6. Step 6: Final answer
    x = 408,433.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.