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Finding the Third Proportional to 157,236 and 241,971

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Solution

The third proportional to 157,236 and 241,971 is: 372,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,236 : 241,971 = 241,971 : x
  2. Step 2: Convert to fraction form
    157,236/241,971 = 241,971/x
  3. Step 3: Cross multiply
    157,236x = 241,971 × 241,971
  4. Step 4: Simplify right side
    157,236x = 58,549,964,841
  5. Step 5: Solve for x
    x = 58,549,964,841/157,236
  6. Step 6: Final answer
    x = 372,369.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.