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Finding the Third Proportional to 155,866 and 338,300

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Solution

The third proportional to 155,866 and 338,300 is: 734,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,866 : 338,300 = 338,300 : x
  2. Step 2: Convert to fraction form
    155,866/338,300 = 338,300/x
  3. Step 3: Cross multiply
    155,866x = 338,300 × 338,300
  4. Step 4: Simplify right side
    155,866x = 114,446,890,000
  5. Step 5: Solve for x
    x = 114,446,890,000/155,866
  6. Step 6: Final answer
    x = 734,264.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.