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Finding the Third Proportional to 163,745 and 260,380

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Solution

The third proportional to 163,745 and 260,380 is: 414,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,745 : 260,380 = 260,380 : x
  2. Step 2: Convert to fraction form
    163,745/260,380 = 260,380/x
  3. Step 3: Cross multiply
    163,745x = 260,380 × 260,380
  4. Step 4: Simplify right side
    163,745x = 67,797,744,400
  5. Step 5: Solve for x
    x = 67,797,744,400/163,745
  6. Step 6: Final answer
    x = 414,044.67

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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.