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Finding the Third Proportional to 153,194 and 324,052

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Solution

The third proportional to 153,194 and 324,052 is: 685,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194 : 324,052 = 324,052 : x
  2. Step 2: Convert to fraction form
    153,194/324,052 = 324,052/x
  3. Step 3: Cross multiply
    153,194x = 324,052 × 324,052
  4. Step 4: Simplify right side
    153,194x = 105,009,698,704
  5. Step 5: Solve for x
    x = 105,009,698,704/153,194
  6. Step 6: Final answer
    x = 685,468.74

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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.