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Finding the Third Proportional to 153,322 and 335,144

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Solution

The third proportional to 153,322 and 335,144 is: 732,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322 : 335,144 = 335,144 : x
  2. Step 2: Convert to fraction form
    153,322/335,144 = 335,144/x
  3. Step 3: Cross multiply
    153,322x = 335,144 × 335,144
  4. Step 4: Simplify right side
    153,322x = 112,321,500,736
  5. Step 5: Solve for x
    x = 112,321,500,736/153,322
  6. Step 6: Final answer
    x = 732,585.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.