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Finding the Third Proportional to 295,169 and 414,187

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Solution

The third proportional to 295,169 and 414,187 is: 581,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,169 : 414,187 = 414,187 : x
  2. Step 2: Convert to fraction form
    295,169/414,187 = 414,187/x
  3. Step 3: Cross multiply
    295,169x = 414,187 × 414,187
  4. Step 4: Simplify right side
    295,169x = 171,550,870,969
  5. Step 5: Solve for x
    x = 171,550,870,969/295,169
  6. Step 6: Final answer
    x = 581,195.42

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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.