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Finding the Third Proportional to 153,546 and 323,898

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Solution

The third proportional to 153,546 and 323,898 is: 683,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,546 : 323,898 = 323,898 : x
  2. Step 2: Convert to fraction form
    153,546/323,898 = 323,898/x
  3. Step 3: Cross multiply
    153,546x = 323,898 × 323,898
  4. Step 4: Simplify right side
    153,546x = 104,909,914,404
  5. Step 5: Solve for x
    x = 104,909,914,404/153,546
  6. Step 6: Final answer
    x = 683,247.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.