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Finding the Third Proportional to 167,460 and 361,158

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Solution

The third proportional to 167,460 and 361,158 is: 778,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,460 : 361,158 = 361,158 : x
  2. Step 2: Convert to fraction form
    167,460/361,158 = 361,158/x
  3. Step 3: Cross multiply
    167,460x = 361,158 × 361,158
  4. Step 4: Simplify right side
    167,460x = 130,435,100,964
  5. Step 5: Solve for x
    x = 130,435,100,964/167,460
  6. Step 6: Final answer
    x = 778,903.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.