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Finding the Third Proportional to 142,201 and 301,898

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Solution

The third proportional to 142,201 and 301,898 is: 640,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201 : 301,898 = 301,898 : x
  2. Step 2: Convert to fraction form
    142,201/301,898 = 301,898/x
  3. Step 3: Cross multiply
    142,201x = 301,898 × 301,898
  4. Step 4: Simplify right side
    142,201x = 91,142,402,404
  5. Step 5: Solve for x
    x = 91,142,402,404/142,201
  6. Step 6: Final answer
    x = 640,940.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.