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Finding the Third Proportional to 295,191 and 414,220.50

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Solution

The third proportional to 295,191 and 414,220.50 is: 581,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,191 : 414,220.50 = 414,220.50 : x
  2. Step 2: Convert to fraction form
    295,191/414,220.50 = 414,220.50/x
  3. Step 3: Cross multiply
    295,191x = 414,220.50 × 414,220.50
  4. Step 4: Simplify right side
    295,191x = 171,578,622,620.25
  5. Step 5: Solve for x
    x = 171,578,622,620.25/295,191
  6. Step 6: Final answer
    x = 581,246.12

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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.