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Finding the Third Proportional to 229,970 and 348,843

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Solution

The third proportional to 229,970 and 348,843 is: 529,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,970 : 348,843 = 348,843 : x
  2. Step 2: Convert to fraction form
    229,970/348,843 = 348,843/x
  3. Step 3: Cross multiply
    229,970x = 348,843 × 348,843
  4. Step 4: Simplify right side
    229,970x = 121,691,438,649
  5. Step 5: Solve for x
    x = 121,691,438,649/229,970
  6. Step 6: Final answer
    x = 529,162.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.