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Finding the Third Proportional to 155,045 and 333,754

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Solution

The third proportional to 155,045 and 333,754 is: 718,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,045 : 333,754 = 333,754 : x
  2. Step 2: Convert to fraction form
    155,045/333,754 = 333,754/x
  3. Step 3: Cross multiply
    155,045x = 333,754 × 333,754
  4. Step 4: Simplify right side
    155,045x = 111,391,732,516
  5. Step 5: Solve for x
    x = 111,391,732,516/155,045
  6. Step 6: Final answer
    x = 718,447.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.