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Finding the Third Proportional to 174,072.38 and 370,905.75

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Solution

The third proportional to 174,072.38 and 370,905.75 is: 790,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,072.38 : 370,905.75 = 370,905.75 : x
  2. Step 2: Convert to fraction form
    174,072.38/370,905.75 = 370,905.75/x
  3. Step 3: Cross multiply
    174,072.38x = 370,905.75 × 370,905.75
  4. Step 4: Simplify right side
    174,072.38x = 137,571,075,383.06
  5. Step 5: Solve for x
    x = 137,571,075,383.06/174,072.38
  6. Step 6: Final answer
    x = 790,309.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.