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Finding the Third Proportional to 178,936 and 378,572

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Solution

The third proportional to 178,936 and 378,572 is: 800,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,936 : 378,572 = 378,572 : x
  2. Step 2: Convert to fraction form
    178,936/378,572 = 378,572/x
  3. Step 3: Cross multiply
    178,936x = 378,572 × 378,572
  4. Step 4: Simplify right side
    178,936x = 143,316,759,184
  5. Step 5: Solve for x
    x = 143,316,759,184/178,936
  6. Step 6: Final answer
    x = 800,938.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.