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Finding the Third Proportional to 120,347.44 and 168,244.59

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Solution

The third proportional to 120,347.44 and 168,244.59 is: 235,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,347.44 : 168,244.59 = 168,244.59 : x
  2. Step 2: Convert to fraction form
    120,347.44/168,244.59 = 168,244.59/x
  3. Step 3: Cross multiply
    120,347.44x = 168,244.59 × 168,244.59
  4. Step 4: Simplify right side
    120,347.44x = 28,306,243,326.10
  5. Step 5: Solve for x
    x = 28,306,243,326.10/120,347.44
  6. Step 6: Final answer
    x = 235,204.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.