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Finding the Third Proportional to 163,882 and 346,964

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Solution

The third proportional to 163,882 and 346,964 is: 734,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,882 : 346,964 = 346,964 : x
  2. Step 2: Convert to fraction form
    163,882/346,964 = 346,964/x
  3. Step 3: Cross multiply
    163,882x = 346,964 × 346,964
  4. Step 4: Simplify right side
    163,882x = 120,384,017,296
  5. Step 5: Solve for x
    x = 120,384,017,296/163,882
  6. Step 6: Final answer
    x = 734,577.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.