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Finding the Third Proportional to 157,972 and 350,936

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Solution

The third proportional to 157,972 and 350,936 is: 779,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,972 : 350,936 = 350,936 : x
  2. Step 2: Convert to fraction form
    157,972/350,936 = 350,936/x
  3. Step 3: Cross multiply
    157,972x = 350,936 × 350,936
  4. Step 4: Simplify right side
    157,972x = 123,156,076,096
  5. Step 5: Solve for x
    x = 123,156,076,096/157,972
  6. Step 6: Final answer
    x = 779,606.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.