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Finding the Third Proportional to 157,892 and 242,679

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Solution

The third proportional to 157,892 and 242,679 is: 372,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,892 : 242,679 = 242,679 : x
  2. Step 2: Convert to fraction form
    157,892/242,679 = 242,679/x
  3. Step 3: Cross multiply
    157,892x = 242,679 × 242,679
  4. Step 4: Simplify right side
    157,892x = 58,893,097,041
  5. Step 5: Solve for x
    x = 58,893,097,041/157,892
  6. Step 6: Final answer
    x = 372,996.08

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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.