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Finding the Third Proportional to 153,850 and 232,824

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Solution

The third proportional to 153,850 and 232,824 is: 352,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850 : 232,824 = 232,824 : x
  2. Step 2: Convert to fraction form
    153,850/232,824 = 232,824/x
  3. Step 3: Cross multiply
    153,850x = 232,824 × 232,824
  4. Step 4: Simplify right side
    153,850x = 54,207,014,976
  5. Step 5: Solve for x
    x = 54,207,014,976/153,850
  6. Step 6: Final answer
    x = 352,336.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.