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Finding the Third Proportional to 162,415.13 and 236,241.56

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Solution

The third proportional to 162,415.13 and 236,241.56 is: 343,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,415.13 : 236,241.56 = 236,241.56 : x
  2. Step 2: Convert to fraction form
    162,415.13/236,241.56 = 236,241.56/x
  3. Step 3: Cross multiply
    162,415.13x = 236,241.56 × 236,241.56
  4. Step 4: Simplify right side
    162,415.13x = 55,810,075,852.44
  5. Step 5: Solve for x
    x = 55,810,075,852.44/162,415.13
  6. Step 6: Final answer
    x = 343,626.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.