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Finding the Third Proportional to 174,462 and 276,705

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Solution

The third proportional to 174,462 and 276,705 is: 438,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,462 : 276,705 = 276,705 : x
  2. Step 2: Convert to fraction form
    174,462/276,705 = 276,705/x
  3. Step 3: Cross multiply
    174,462x = 276,705 × 276,705
  4. Step 4: Simplify right side
    174,462x = 76,565,657,025
  5. Step 5: Solve for x
    x = 76,565,657,025/174,462
  6. Step 6: Final answer
    x = 438,867.24

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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.