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Finding the Third Proportional to 163,926 and 260,658

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Solution

The third proportional to 163,926 and 260,658 is: 414,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,926 : 260,658 = 260,658 : x
  2. Step 2: Convert to fraction form
    163,926/260,658 = 260,658/x
  3. Step 3: Cross multiply
    163,926x = 260,658 × 260,658
  4. Step 4: Simplify right side
    163,926x = 67,942,592,964
  5. Step 5: Solve for x
    x = 67,942,592,964/163,926
  6. Step 6: Final answer
    x = 414,471.12

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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.