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Finding the Third Proportional to 142,203 and 301,902

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Solution

The third proportional to 142,203 and 301,902 is: 640,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203 : 301,902 = 301,902 : x
  2. Step 2: Convert to fraction form
    142,203/301,902 = 301,902/x
  3. Step 3: Cross multiply
    142,203x = 301,902 × 301,902
  4. Step 4: Simplify right side
    142,203x = 91,144,817,604
  5. Step 5: Solve for x
    x = 91,144,817,604/142,203
  6. Step 6: Final answer
    x = 640,948.63

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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.