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Finding the Third Proportional to 142,032 and 307,512

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Solution

The third proportional to 142,032 and 307,512 is: 665,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,032 : 307,512 = 307,512 : x
  2. Step 2: Convert to fraction form
    142,032/307,512 = 307,512/x
  3. Step 3: Cross multiply
    142,032x = 307,512 × 307,512
  4. Step 4: Simplify right side
    142,032x = 94,563,630,144
  5. Step 5: Solve for x
    x = 94,563,630,144/142,032
  6. Step 6: Final answer
    x = 665,791.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.