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Finding the Third Proportional to 154,936 and 328,472

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Solution

The third proportional to 154,936 and 328,472 is: 696,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,936 : 328,472 = 328,472 : x
  2. Step 2: Convert to fraction form
    154,936/328,472 = 328,472/x
  3. Step 3: Cross multiply
    154,936x = 328,472 × 328,472
  4. Step 4: Simplify right side
    154,936x = 107,893,854,784
  5. Step 5: Solve for x
    x = 107,893,854,784/154,936
  6. Step 6: Final answer
    x = 696,376.92

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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.