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Finding the Third Proportional to 167,288 and 357,848

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Solution

The third proportional to 167,288 and 357,848 is: 765,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,288 : 357,848 = 357,848 : x
  2. Step 2: Convert to fraction form
    167,288/357,848 = 357,848/x
  3. Step 3: Cross multiply
    167,288x = 357,848 × 357,848
  4. Step 4: Simplify right side
    167,288x = 128,055,191,104
  5. Step 5: Solve for x
    x = 128,055,191,104/167,288
  6. Step 6: Final answer
    x = 765,477.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.