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Finding the Third Proportional to 177,683.50 and 388,582.25

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Solution

The third proportional to 177,683.50 and 388,582.25 is: 849,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,683.50 : 388,582.25 = 388,582.25 : x
  2. Step 2: Convert to fraction form
    177,683.50/388,582.25 = 388,582.25/x
  3. Step 3: Cross multiply
    177,683.50x = 388,582.25 × 388,582.25
  4. Step 4: Simplify right side
    177,683.50x = 150,996,165,015.06
  5. Step 5: Solve for x
    x = 150,996,165,015.06/177,683.50
  6. Step 6: Final answer
    x = 849,804.09

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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.