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Finding the Third Proportional to 178,969 and 250,343

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Solution

The third proportional to 178,969 and 250,343 is: 350,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,969 : 250,343 = 250,343 : x
  2. Step 2: Convert to fraction form
    178,969/250,343 = 250,343/x
  3. Step 3: Cross multiply
    178,969x = 250,343 × 250,343
  4. Step 4: Simplify right side
    178,969x = 62,671,617,649
  5. Step 5: Solve for x
    x = 62,671,617,649/178,969
  6. Step 6: Final answer
    x = 350,181.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.