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Finding the Third Proportional to 153,837 and 333,918

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Solution

The third proportional to 153,837 and 333,918 is: 724,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,837 : 333,918 = 333,918 : x
  2. Step 2: Convert to fraction form
    153,837/333,918 = 333,918/x
  3. Step 3: Cross multiply
    153,837x = 333,918 × 333,918
  4. Step 4: Simplify right side
    153,837x = 111,501,230,724
  5. Step 5: Solve for x
    x = 111,501,230,724/153,837
  6. Step 6: Final answer
    x = 724,801.13

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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.