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Finding the Third Proportional to 150,411.50 and 334,444

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Solution

The third proportional to 150,411.50 and 334,444 is: 743,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411.50 : 334,444 = 334,444 : x
  2. Step 2: Convert to fraction form
    150,411.50/334,444 = 334,444/x
  3. Step 3: Cross multiply
    150,411.50x = 334,444 × 334,444
  4. Step 4: Simplify right side
    150,411.50x = 111,852,789,136
  5. Step 5: Solve for x
    x = 111,852,789,136/150,411.50
  6. Step 6: Final answer
    x = 743,645.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.