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Finding the Third Proportional to 151,904 and 313,532

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Solution

The third proportional to 151,904 and 313,532 is: 647,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,904 : 313,532 = 313,532 : x
  2. Step 2: Convert to fraction form
    151,904/313,532 = 313,532/x
  3. Step 3: Cross multiply
    151,904x = 313,532 × 313,532
  4. Step 4: Simplify right side
    151,904x = 98,302,315,024
  5. Step 5: Solve for x
    x = 98,302,315,024/151,904
  6. Step 6: Final answer
    x = 647,134.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.