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Finding the Third Proportional to 157,230 and 341,036

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Solution

The third proportional to 157,230 and 341,036 is: 739,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,230 : 341,036 = 341,036 : x
  2. Step 2: Convert to fraction form
    157,230/341,036 = 341,036/x
  3. Step 3: Cross multiply
    157,230x = 341,036 × 341,036
  4. Step 4: Simplify right side
    157,230x = 116,305,553,296
  5. Step 5: Solve for x
    x = 116,305,553,296/157,230
  6. Step 6: Final answer
    x = 739,716.04

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Why These Related Problems?

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