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Finding the Third Proportional to 174,998.25 and 373,984.88

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Solution

The third proportional to 174,998.25 and 373,984.88 is: 799,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,998.25 : 373,984.88 = 373,984.88 : x
  2. Step 2: Convert to fraction form
    174,998.25/373,984.88 = 373,984.88/x
  3. Step 3: Cross multiply
    174,998.25x = 373,984.88 × 373,984.88
  4. Step 4: Simplify right side
    174,998.25x = 139,864,686,728.77
  5. Step 5: Solve for x
    x = 139,864,686,728.77/174,998.25
  6. Step 6: Final answer
    x = 799,234.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.