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Finding the Third Proportional to 153,840 and 333,924

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Solution

The third proportional to 153,840 and 333,924 is: 724,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,840 : 333,924 = 333,924 : x
  2. Step 2: Convert to fraction form
    153,840/333,924 = 333,924/x
  3. Step 3: Cross multiply
    153,840x = 333,924 × 333,924
  4. Step 4: Simplify right side
    153,840x = 111,505,237,776
  5. Step 5: Solve for x
    x = 111,505,237,776/153,840
  6. Step 6: Final answer
    x = 724,813.04

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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.