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Finding the Third Proportional to 177,210.84 and 388,869.75

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Solution

The third proportional to 177,210.84 and 388,869.75 is: 853,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,210.84 : 388,869.75 = 388,869.75 : x
  2. Step 2: Convert to fraction form
    177,210.84/388,869.75 = 388,869.75/x
  3. Step 3: Cross multiply
    177,210.84x = 388,869.75 × 388,869.75
  4. Step 4: Simplify right side
    177,210.84x = 151,219,682,465.06
  5. Step 5: Solve for x
    x = 151,219,682,465.06/177,210.84
  6. Step 6: Final answer
    x = 853,331.99

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