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Finding the Third Proportional to 167,113 and 360,858

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Solution

The third proportional to 167,113 and 360,858 is: 779,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,113 : 360,858 = 360,858 : x
  2. Step 2: Convert to fraction form
    167,113/360,858 = 360,858/x
  3. Step 3: Cross multiply
    167,113x = 360,858 × 360,858
  4. Step 4: Simplify right side
    167,113x = 130,218,496,164
  5. Step 5: Solve for x
    x = 130,218,496,164/167,113
  6. Step 6: Final answer
    x = 779,224.21

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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.