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Finding the Third Proportional to 157,718 and 345,971

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Solution

The third proportional to 157,718 and 345,971 is: 758,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,718 : 345,971 = 345,971 : x
  2. Step 2: Convert to fraction form
    157,718/345,971 = 345,971/x
  3. Step 3: Cross multiply
    157,718x = 345,971 × 345,971
  4. Step 4: Simplify right side
    157,718x = 119,695,932,841
  5. Step 5: Solve for x
    x = 119,695,932,841/157,718
  6. Step 6: Final answer
    x = 758,923.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.