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Finding the Third Proportional to 167,120 and 367,312

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Solution

The third proportional to 167,120 and 367,312 is: 807,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,120 : 367,312 = 367,312 : x
  2. Step 2: Convert to fraction form
    167,120/367,312 = 367,312/x
  3. Step 3: Cross multiply
    167,120x = 367,312 × 367,312
  4. Step 4: Simplify right side
    167,120x = 134,918,105,344
  5. Step 5: Solve for x
    x = 134,918,105,344/167,120
  6. Step 6: Final answer
    x = 807,312.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.