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Finding the Third Proportional to 190,075.36 and 441,973.34

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Solution

The third proportional to 190,075.36 and 441,973.34 is: 1,027,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,075.36 : 441,973.34 = 441,973.34 : x
  2. Step 2: Convert to fraction form
    190,075.36/441,973.34 = 441,973.34/x
  3. Step 3: Cross multiply
    190,075.36x = 441,973.34 × 441,973.34
  4. Step 4: Simplify right side
    190,075.36x = 195,340,429,679.72
  5. Step 5: Solve for x
    x = 195,340,429,679.72/190,075.36
  6. Step 6: Final answer
    x = 1,027,699.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.