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Finding the Third Proportional to 160,253 and 350,274

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Solution

The third proportional to 160,253 and 350,274 is: 765,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,253 : 350,274 = 350,274 : x
  2. Step 2: Convert to fraction form
    160,253/350,274 = 350,274/x
  3. Step 3: Cross multiply
    160,253x = 350,274 × 350,274
  4. Step 4: Simplify right side
    160,253x = 122,691,875,076
  5. Step 5: Solve for x
    x = 122,691,875,076/160,253
  6. Step 6: Final answer
    x = 765,613.59

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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.