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Finding the Third Proportional to 161,040 and 236,824

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Solution

The third proportional to 161,040 and 236,824 is: 348,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,040 : 236,824 = 236,824 : x
  2. Step 2: Convert to fraction form
    161,040/236,824 = 236,824/x
  3. Step 3: Cross multiply
    161,040x = 236,824 × 236,824
  4. Step 4: Simplify right side
    161,040x = 56,085,606,976
  5. Step 5: Solve for x
    x = 56,085,606,976/161,040
  6. Step 6: Final answer
    x = 348,271.28

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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.