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Finding the Third Proportional to 251,984 and 363,072

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Solution

The third proportional to 251,984 and 363,072 is: 523,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,984 : 363,072 = 363,072 : x
  2. Step 2: Convert to fraction form
    251,984/363,072 = 363,072/x
  3. Step 3: Cross multiply
    251,984x = 363,072 × 363,072
  4. Step 4: Simplify right side
    251,984x = 131,821,277,184
  5. Step 5: Solve for x
    x = 131,821,277,184/251,984
  6. Step 6: Final answer
    x = 523,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.