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Finding the Third Proportional to 163,751 and 260,390

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Solution

The third proportional to 163,751 and 260,390 is: 414,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,751 : 260,390 = 260,390 : x
  2. Step 2: Convert to fraction form
    163,751/260,390 = 260,390/x
  3. Step 3: Cross multiply
    163,751x = 260,390 × 260,390
  4. Step 4: Simplify right side
    163,751x = 67,802,952,100
  5. Step 5: Solve for x
    x = 67,802,952,100/163,751
  6. Step 6: Final answer
    x = 414,061.30

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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.