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Finding the Third Proportional to 155,153 and 337,954

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Solution

The third proportional to 155,153 and 337,954 is: 736,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,153 : 337,954 = 337,954 : x
  2. Step 2: Convert to fraction form
    155,153/337,954 = 337,954/x
  3. Step 3: Cross multiply
    155,153x = 337,954 × 337,954
  4. Step 4: Simplify right side
    155,153x = 114,212,906,116
  5. Step 5: Solve for x
    x = 114,212,906,116/155,153
  6. Step 6: Final answer
    x = 736,130.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.