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Finding the Third Proportional to 163,758 and 260,397

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Solution

The third proportional to 163,758 and 260,397 is: 414,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,758 : 260,397 = 260,397 : x
  2. Step 2: Convert to fraction form
    163,758/260,397 = 260,397/x
  3. Step 3: Cross multiply
    163,758x = 260,397 × 260,397
  4. Step 4: Simplify right side
    163,758x = 67,806,597,609
  5. Step 5: Solve for x
    x = 67,806,597,609/163,758
  6. Step 6: Final answer
    x = 414,065.86

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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.