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Finding the Third Proportional to 146,964 and 227,148

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Solution

The third proportional to 146,964 and 227,148 is: 351,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,964 : 227,148 = 227,148 : x
  2. Step 2: Convert to fraction form
    146,964/227,148 = 227,148/x
  3. Step 3: Cross multiply
    146,964x = 227,148 × 227,148
  4. Step 4: Simplify right side
    146,964x = 51,596,213,904
  5. Step 5: Solve for x
    x = 51,596,213,904/146,964
  6. Step 6: Final answer
    x = 351,080.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.