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Finding the Third Proportional to 163,814 and 260,475

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Solution

The third proportional to 163,814 and 260,475 is: 414,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,814 : 260,475 = 260,475 : x
  2. Step 2: Convert to fraction form
    163,814/260,475 = 260,475/x
  3. Step 3: Cross multiply
    163,814x = 260,475 × 260,475
  4. Step 4: Simplify right side
    163,814x = 67,847,225,625
  5. Step 5: Solve for x
    x = 67,847,225,625/163,814
  6. Step 6: Final answer
    x = 414,172.33

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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.