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Finding the Third Proportional to 154,944 and 328,488

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Solution

The third proportional to 154,944 and 328,488 is: 696,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,944 : 328,488 = 328,488 : x
  2. Step 2: Convert to fraction form
    154,944/328,488 = 328,488/x
  3. Step 3: Cross multiply
    154,944x = 328,488 × 328,488
  4. Step 4: Simplify right side
    154,944x = 107,904,366,144
  5. Step 5: Solve for x
    x = 107,904,366,144/154,944
  6. Step 6: Final answer
    x = 696,408.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.