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Finding the Third Proportional to 173,127 and 276,574

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Solution

The third proportional to 173,127 and 276,574 is: 441,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,127 : 276,574 = 276,574 : x
  2. Step 2: Convert to fraction form
    173,127/276,574 = 276,574/x
  3. Step 3: Cross multiply
    173,127x = 276,574 × 276,574
  4. Step 4: Simplify right side
    173,127x = 76,493,177,476
  5. Step 5: Solve for x
    x = 76,493,177,476/173,127
  6. Step 6: Final answer
    x = 441,832.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.