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Finding the Third Proportional to 167,248 and 357,512

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Solution

The third proportional to 167,248 and 357,512 is: 764,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,248 : 357,512 = 357,512 : x
  2. Step 2: Convert to fraction form
    167,248/357,512 = 357,512/x
  3. Step 3: Cross multiply
    167,248x = 357,512 × 357,512
  4. Step 4: Simplify right side
    167,248x = 127,814,830,144
  5. Step 5: Solve for x
    x = 127,814,830,144/167,248
  6. Step 6: Final answer
    x = 764,223.37

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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.