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Finding the Third Proportional to 106,051.50 and 226,683

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Solution

The third proportional to 106,051.50 and 226,683 is: 484,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.50 : 226,683 = 226,683 : x
  2. Step 2: Convert to fraction form
    106,051.50/226,683 = 226,683/x
  3. Step 3: Cross multiply
    106,051.50x = 226,683 × 226,683
  4. Step 4: Simplify right side
    106,051.50x = 51,385,182,489
  5. Step 5: Solve for x
    x = 51,385,182,489/106,051.50
  6. Step 6: Final answer
    x = 484,530.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.