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Finding the Third Proportional to 142,907 and 301,853

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Solution

The third proportional to 142,907 and 301,853 is: 637,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,907 : 301,853 = 301,853 : x
  2. Step 2: Convert to fraction form
    142,907/301,853 = 301,853/x
  3. Step 3: Cross multiply
    142,907x = 301,853 × 301,853
  4. Step 4: Simplify right side
    142,907x = 91,115,233,609
  5. Step 5: Solve for x
    x = 91,115,233,609/142,907
  6. Step 6: Final answer
    x = 637,584.12

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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.