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Finding the Third Proportional to 153,191 and 324,046

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Solution

The third proportional to 153,191 and 324,046 is: 685,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,191 : 324,046 = 324,046 : x
  2. Step 2: Convert to fraction form
    153,191/324,046 = 324,046/x
  3. Step 3: Cross multiply
    153,191x = 324,046 × 324,046
  4. Step 4: Simplify right side
    153,191x = 105,005,810,116
  5. Step 5: Solve for x
    x = 105,005,810,116/153,191
  6. Step 6: Final answer
    x = 685,456.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.