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Finding the Third Proportional to 188,444 and 264,100

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Solution

The third proportional to 188,444 and 264,100 is: 370,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,444 : 264,100 = 264,100 : x
  2. Step 2: Convert to fraction form
    188,444/264,100 = 264,100/x
  3. Step 3: Cross multiply
    188,444x = 264,100 × 264,100
  4. Step 4: Simplify right side
    188,444x = 69,748,810,000
  5. Step 5: Solve for x
    x = 69,748,810,000/188,444
  6. Step 6: Final answer
    x = 370,130.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.