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Finding the Third Proportional to 174,945 and 365,421

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Solution

The third proportional to 174,945 and 365,421 is: 763,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,945 : 365,421 = 365,421 : x
  2. Step 2: Convert to fraction form
    174,945/365,421 = 365,421/x
  3. Step 3: Cross multiply
    174,945x = 365,421 × 365,421
  4. Step 4: Simplify right side
    174,945x = 133,532,507,241
  5. Step 5: Solve for x
    x = 133,532,507,241/174,945
  6. Step 6: Final answer
    x = 763,282.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.