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Finding the Third Proportional to 167,097 and 360,543

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Solution

The third proportional to 167,097 and 360,543 is: 777,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,097 : 360,543 = 360,543 : x
  2. Step 2: Convert to fraction form
    167,097/360,543 = 360,543/x
  3. Step 3: Cross multiply
    167,097x = 360,543 × 360,543
  4. Step 4: Simplify right side
    167,097x = 129,991,254,849
  5. Step 5: Solve for x
    x = 129,991,254,849/167,097
  6. Step 6: Final answer
    x = 777,938.89

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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.