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Finding the Third Proportional to 154,923.75 and 328,444.88

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Solution

The third proportional to 154,923.75 and 328,444.88 is: 696,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,923.75 : 328,444.88 = 328,444.88 : x
  2. Step 2: Convert to fraction form
    154,923.75/328,444.88 = 328,444.88/x
  3. Step 3: Cross multiply
    154,923.75x = 328,444.88 × 328,444.88
  4. Step 4: Simplify right side
    154,923.75x = 107,876,035,913.77
  5. Step 5: Solve for x
    x = 107,876,035,913.77/154,923.75
  6. Step 6: Final answer
    x = 696,316.97

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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.