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Finding the Third Proportional to 161,048 and 236,024

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Solution

The third proportional to 161,048 and 236,024 is: 345,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,048 : 236,024 = 236,024 : x
  2. Step 2: Convert to fraction form
    161,048/236,024 = 236,024/x
  3. Step 3: Cross multiply
    161,048x = 236,024 × 236,024
  4. Step 4: Simplify right side
    161,048x = 55,707,328,576
  5. Step 5: Solve for x
    x = 55,707,328,576/161,048
  6. Step 6: Final answer
    x = 345,905.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.