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Finding the Third Proportional to 177,708.94 and 383,864.06

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Solution

The third proportional to 177,708.94 and 383,864.06 is: 829,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,708.94 : 383,864.06 = 383,864.06 : x
  2. Step 2: Convert to fraction form
    177,708.94/383,864.06 = 383,864.06/x
  3. Step 3: Cross multiply
    177,708.94x = 383,864.06 × 383,864.06
  4. Step 4: Simplify right side
    177,708.94x = 147,351,618,479.00
  5. Step 5: Solve for x
    x = 147,351,618,479.00/177,708.94
  6. Step 6: Final answer
    x = 829,173.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.