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Finding the Third Proportional to 157,600 and 341,456

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Solution

The third proportional to 157,600 and 341,456 is: 739,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600 : 341,456 = 341,456 : x
  2. Step 2: Convert to fraction form
    157,600/341,456 = 341,456/x
  3. Step 3: Cross multiply
    157,600x = 341,456 × 341,456
  4. Step 4: Simplify right side
    157,600x = 116,592,199,936
  5. Step 5: Solve for x
    x = 116,592,199,936/157,600
  6. Step 6: Final answer
    x = 739,798.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.