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Finding the Third Proportional to 178,235 and 371,213

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Solution

The third proportional to 178,235 and 371,213 is: 773,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,235 : 371,213 = 371,213 : x
  2. Step 2: Convert to fraction form
    178,235/371,213 = 371,213/x
  3. Step 3: Cross multiply
    178,235x = 371,213 × 371,213
  4. Step 4: Simplify right side
    178,235x = 137,799,091,369
  5. Step 5: Solve for x
    x = 137,799,091,369/178,235
  6. Step 6: Final answer
    x = 773,131.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.