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Finding the Third Proportional to 153,648 and 334,224

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Solution

The third proportional to 153,648 and 334,224 is: 727,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,648 : 334,224 = 334,224 : x
  2. Step 2: Convert to fraction form
    153,648/334,224 = 334,224/x
  3. Step 3: Cross multiply
    153,648x = 334,224 × 334,224
  4. Step 4: Simplify right side
    153,648x = 111,705,682,176
  5. Step 5: Solve for x
    x = 111,705,682,176/153,648
  6. Step 6: Final answer
    x = 727,023.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.