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Finding the Third Proportional to 183,283.50 and 388,690.13

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Solution

The third proportional to 183,283.50 and 388,690.13 is: 824,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,283.50 : 388,690.13 = 388,690.13 : x
  2. Step 2: Convert to fraction form
    183,283.50/388,690.13 = 388,690.13/x
  3. Step 3: Cross multiply
    183,283.50x = 388,690.13 × 388,690.13
  4. Step 4: Simplify right side
    183,283.50x = 151,080,013,272.52
  5. Step 5: Solve for x
    x = 151,080,013,272.52/183,283.50
  6. Step 6: Final answer
    x = 824,296.86

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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.