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Finding the Third Proportional to 153,471 and 325,194

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Solution

The third proportional to 153,471 and 325,194 is: 689,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471 : 325,194 = 325,194 : x
  2. Step 2: Convert to fraction form
    153,471/325,194 = 325,194/x
  3. Step 3: Cross multiply
    153,471x = 325,194 × 325,194
  4. Step 4: Simplify right side
    153,471x = 105,751,137,636
  5. Step 5: Solve for x
    x = 105,751,137,636/153,471
  6. Step 6: Final answer
    x = 689,062.67

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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.