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Finding the Third Proportional to 144,047 and 227,910

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Solution

The third proportional to 144,047 and 227,910 is: 360,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,047 : 227,910 = 227,910 : x
  2. Step 2: Convert to fraction form
    144,047/227,910 = 227,910/x
  3. Step 3: Cross multiply
    144,047x = 227,910 × 227,910
  4. Step 4: Simplify right side
    144,047x = 51,942,968,100
  5. Step 5: Solve for x
    x = 51,942,968,100/144,047
  6. Step 6: Final answer
    x = 360,597.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.