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Finding the Third Proportional to 185,964 and 276,210

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Solution

The third proportional to 185,964 and 276,210 is: 410,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,964 : 276,210 = 276,210 : x
  2. Step 2: Convert to fraction form
    185,964/276,210 = 276,210/x
  3. Step 3: Cross multiply
    185,964x = 276,210 × 276,210
  4. Step 4: Simplify right side
    185,964x = 76,291,964,100
  5. Step 5: Solve for x
    x = 76,291,964,100/185,964
  6. Step 6: Final answer
    x = 410,251.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.