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Finding the Third Proportional to 153,645 and 241,024

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Solution

The third proportional to 153,645 and 241,024 is: 378,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,645 : 241,024 = 241,024 : x
  2. Step 2: Convert to fraction form
    153,645/241,024 = 241,024/x
  3. Step 3: Cross multiply
    153,645x = 241,024 × 241,024
  4. Step 4: Simplify right side
    153,645x = 58,092,568,576
  5. Step 5: Solve for x
    x = 58,092,568,576/153,645
  6. Step 6: Final answer
    x = 378,096.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.