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Finding the Third Proportional to 172,032 and 367,392

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Solution

The third proportional to 172,032 and 367,392 is: 784,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032 : 367,392 = 367,392 : x
  2. Step 2: Convert to fraction form
    172,032/367,392 = 367,392/x
  3. Step 3: Cross multiply
    172,032x = 367,392 × 367,392
  4. Step 4: Simplify right side
    172,032x = 134,976,881,664
  5. Step 5: Solve for x
    x = 134,976,881,664/172,032
  6. Step 6: Final answer
    x = 784,603.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.