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Finding the Third Proportional to 155,533 and 333,721

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Solution

The third proportional to 155,533 and 333,721 is: 716,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,533 : 333,721 = 333,721 : x
  2. Step 2: Convert to fraction form
    155,533/333,721 = 333,721/x
  3. Step 3: Cross multiply
    155,533x = 333,721 × 333,721
  4. Step 4: Simplify right side
    155,533x = 111,369,705,841
  5. Step 5: Solve for x
    x = 111,369,705,841/155,533
  6. Step 6: Final answer
    x = 716,051.94

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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.