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Finding the Third Proportional to 174,674 and 277,035

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Solution

The third proportional to 174,674 and 277,035 is: 439,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,674 : 277,035 = 277,035 : x
  2. Step 2: Convert to fraction form
    174,674/277,035 = 277,035/x
  3. Step 3: Cross multiply
    174,674x = 277,035 × 277,035
  4. Step 4: Simplify right side
    174,674x = 76,748,391,225
  5. Step 5: Solve for x
    x = 76,748,391,225/174,674
  6. Step 6: Final answer
    x = 439,380.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.