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Finding the Third Proportional to 174,040 and 276,931

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Solution

The third proportional to 174,040 and 276,931 is: 440,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,040 : 276,931 = 276,931 : x
  2. Step 2: Convert to fraction form
    174,040/276,931 = 276,931/x
  3. Step 3: Cross multiply
    174,040x = 276,931 × 276,931
  4. Step 4: Simplify right side
    174,040x = 76,690,778,761
  5. Step 5: Solve for x
    x = 76,690,778,761/174,040
  6. Step 6: Final answer
    x = 440,650.30

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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.