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Finding the Third Proportional to 163,922 and 260,652

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Solution

The third proportional to 163,922 and 260,652 is: 414,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,922 : 260,652 = 260,652 : x
  2. Step 2: Convert to fraction form
    163,922/260,652 = 260,652/x
  3. Step 3: Cross multiply
    163,922x = 260,652 × 260,652
  4. Step 4: Simplify right side
    163,922x = 67,939,465,104
  5. Step 5: Solve for x
    x = 67,939,465,104/163,922
  6. Step 6: Final answer
    x = 414,462.15

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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.