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Finding the Third Proportional to 177,710.84 and 388,636.73

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Solution

The third proportional to 177,710.84 and 388,636.73 is: 849,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,710.84 : 388,636.73 = 388,636.73 : x
  2. Step 2: Convert to fraction form
    177,710.84/388,636.73 = 388,636.73/x
  3. Step 3: Cross multiply
    177,710.84x = 388,636.73 × 388,636.73
  4. Step 4: Simplify right side
    177,710.84x = 151,038,511,305.66
  5. Step 5: Solve for x
    x = 151,038,511,305.66/177,710.84
  6. Step 6: Final answer
    x = 849,911.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.