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Finding the Third Proportional to 160,272 and 248,154

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Solution

The third proportional to 160,272 and 248,154 is: 384,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,272 : 248,154 = 248,154 : x
  2. Step 2: Convert to fraction form
    160,272/248,154 = 248,154/x
  3. Step 3: Cross multiply
    160,272x = 248,154 × 248,154
  4. Step 4: Simplify right side
    160,272x = 61,580,407,716
  5. Step 5: Solve for x
    x = 61,580,407,716/160,272
  6. Step 6: Final answer
    x = 384,224.37

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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.