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Finding the Third Proportional to 163,006 and 259,360

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Solution

The third proportional to 163,006 and 259,360 is: 412,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,006 : 259,360 = 259,360 : x
  2. Step 2: Convert to fraction form
    163,006/259,360 = 259,360/x
  3. Step 3: Cross multiply
    163,006x = 259,360 × 259,360
  4. Step 4: Simplify right side
    163,006x = 67,267,609,600
  5. Step 5: Solve for x
    x = 67,267,609,600/163,006
  6. Step 6: Final answer
    x = 412,669.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.