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Finding the Third Proportional to 160,047 and 350,226

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Solution

The third proportional to 160,047 and 350,226 is: 766,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,047 : 350,226 = 350,226 : x
  2. Step 2: Convert to fraction form
    160,047/350,226 = 350,226/x
  3. Step 3: Cross multiply
    160,047x = 350,226 × 350,226
  4. Step 4: Simplify right side
    160,047x = 122,658,251,076
  5. Step 5: Solve for x
    x = 122,658,251,076/160,047
  6. Step 6: Final answer
    x = 766,388.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.