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Finding the Third Proportional to 155,511 and 333,762

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Solution

The third proportional to 155,511 and 333,762 is: 716,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,511 : 333,762 = 333,762 : x
  2. Step 2: Convert to fraction form
    155,511/333,762 = 333,762/x
  3. Step 3: Cross multiply
    155,511x = 333,762 × 333,762
  4. Step 4: Simplify right side
    155,511x = 111,397,072,644
  5. Step 5: Solve for x
    x = 111,397,072,644/155,511
  6. Step 6: Final answer
    x = 716,329.22

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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.