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Finding the Third Proportional to 193,552 and 414,752

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Solution

The third proportional to 193,552 and 414,752 is: 888,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,552 : 414,752 = 414,752 : x
  2. Step 2: Convert to fraction form
    193,552/414,752 = 414,752/x
  3. Step 3: Cross multiply
    193,552x = 414,752 × 414,752
  4. Step 4: Simplify right side
    193,552x = 172,019,221,504
  5. Step 5: Solve for x
    x = 172,019,221,504/193,552
  6. Step 6: Final answer
    x = 888,749.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.