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Finding the Third Proportional to 177,224.63 and 388,897.88

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Solution

The third proportional to 177,224.63 and 388,897.88 is: 853,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,224.63 : 388,897.88 = 388,897.88 : x
  2. Step 2: Convert to fraction form
    177,224.63/388,897.88 = 388,897.88/x
  3. Step 3: Cross multiply
    177,224.63x = 388,897.88 × 388,897.88
  4. Step 4: Simplify right side
    177,224.63x = 151,241,557,179.52
  5. Step 5: Solve for x
    x = 151,241,557,179.52/177,224.63
  6. Step 6: Final answer
    x = 853,389.07

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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.