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Finding the Third Proportional to 171,803 and 262,148

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Solution

The third proportional to 171,803 and 262,148 is: 400,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,803 : 262,148 = 262,148 : x
  2. Step 2: Convert to fraction form
    171,803/262,148 = 262,148/x
  3. Step 3: Cross multiply
    171,803x = 262,148 × 262,148
  4. Step 4: Simplify right side
    171,803x = 68,721,573,904
  5. Step 5: Solve for x
    x = 68,721,573,904/171,803
  6. Step 6: Final answer
    x = 400,002.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.