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Finding the Third Proportional to 177,928 and 390,844

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Solution

The third proportional to 177,928 and 390,844 is: 858,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,928 : 390,844 = 390,844 : x
  2. Step 2: Convert to fraction form
    177,928/390,844 = 390,844/x
  3. Step 3: Cross multiply
    177,928x = 390,844 × 390,844
  4. Step 4: Simplify right side
    177,928x = 152,759,032,336
  5. Step 5: Solve for x
    x = 152,759,032,336/177,928
  6. Step 6: Final answer
    x = 858,544.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.