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Finding the Third Proportional to 178,457 and 244,704

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Solution

The third proportional to 178,457 and 244,704 is: 335,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,457 : 244,704 = 244,704 : x
  2. Step 2: Convert to fraction form
    178,457/244,704 = 244,704/x
  3. Step 3: Cross multiply
    178,457x = 244,704 × 244,704
  4. Step 4: Simplify right side
    178,457x = 59,880,047,616
  5. Step 5: Solve for x
    x = 59,880,047,616/178,457
  6. Step 6: Final answer
    x = 335,543.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.