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Finding the Third Proportional to 154,420.13 and 333,444

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Solution

The third proportional to 154,420.13 and 333,444 is: 720,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,420.13 : 333,444 = 333,444 : x
  2. Step 2: Convert to fraction form
    154,420.13/333,444 = 333,444/x
  3. Step 3: Cross multiply
    154,420.13x = 333,444 × 333,444
  4. Step 4: Simplify right side
    154,420.13x = 111,184,901,136
  5. Step 5: Solve for x
    x = 111,184,901,136/154,420.13
  6. Step 6: Final answer
    x = 720,015.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.