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Finding the Third Proportional to 155,763 and 333,882

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Solution

The third proportional to 155,763 and 333,882 is: 715,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,763 : 333,882 = 333,882 : x
  2. Step 2: Convert to fraction form
    155,763/333,882 = 333,882/x
  3. Step 3: Cross multiply
    155,763x = 333,882 × 333,882
  4. Step 4: Simplify right side
    155,763x = 111,477,189,924
  5. Step 5: Solve for x
    x = 111,477,189,924/155,763
  6. Step 6: Final answer
    x = 715,684.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.