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Finding the Third Proportional to 136,148 and 299,174

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Solution

The third proportional to 136,148 and 299,174 is: 657,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,148 : 299,174 = 299,174 : x
  2. Step 2: Convert to fraction form
    136,148/299,174 = 299,174/x
  3. Step 3: Cross multiply
    136,148x = 299,174 × 299,174
  4. Step 4: Simplify right side
    136,148x = 89,505,082,276
  5. Step 5: Solve for x
    x = 89,505,082,276/136,148
  6. Step 6: Final answer
    x = 657,410.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.