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Finding the Third Proportional to 174,676 and 277,038

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Solution

The third proportional to 174,676 and 277,038 is: 439,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,676 : 277,038 = 277,038 : x
  2. Step 2: Convert to fraction form
    174,676/277,038 = 277,038/x
  3. Step 3: Cross multiply
    174,676x = 277,038 × 277,038
  4. Step 4: Simplify right side
    174,676x = 76,750,053,444
  5. Step 5: Solve for x
    x = 76,750,053,444/174,676
  6. Step 6: Final answer
    x = 439,385.22

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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.