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Finding the Third Proportional to 163,366 and 260,121

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Solution

The third proportional to 163,366 and 260,121 is: 414,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,366 : 260,121 = 260,121 : x
  2. Step 2: Convert to fraction form
    163,366/260,121 = 260,121/x
  3. Step 3: Cross multiply
    163,366x = 260,121 × 260,121
  4. Step 4: Simplify right side
    163,366x = 67,662,934,641
  5. Step 5: Solve for x
    x = 67,662,934,641/163,366
  6. Step 6: Final answer
    x = 414,180.03

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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.