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Finding the Third Proportional to 149,796.84 and 210,701.25

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Solution

The third proportional to 149,796.84 and 210,701.25 is: 296,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796.84 : 210,701.25 = 210,701.25 : x
  2. Step 2: Convert to fraction form
    149,796.84/210,701.25 = 210,701.25/x
  3. Step 3: Cross multiply
    149,796.84x = 210,701.25 × 210,701.25
  4. Step 4: Simplify right side
    149,796.84x = 44,395,016,751.56
  5. Step 5: Solve for x
    x = 44,395,016,751.56/149,796.84
  6. Step 6: Final answer
    x = 296,368.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.