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Finding the Third Proportional to 156,770 and 223,971

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Solution

The third proportional to 156,770 and 223,971 is: 319,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770 : 223,971 = 223,971 : x
  2. Step 2: Convert to fraction form
    156,770/223,971 = 223,971/x
  3. Step 3: Cross multiply
    156,770x = 223,971 × 223,971
  4. Step 4: Simplify right side
    156,770x = 50,163,008,841
  5. Step 5: Solve for x
    x = 50,163,008,841/156,770
  6. Step 6: Final answer
    x = 319,978.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.