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Finding the Third Proportional to 120,465.75 and 176,378.25

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Solution

The third proportional to 120,465.75 and 176,378.25 is: 258,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465.75 : 176,378.25 = 176,378.25 : x
  2. Step 2: Convert to fraction form
    120,465.75/176,378.25 = 176,378.25/x
  3. Step 3: Cross multiply
    120,465.75x = 176,378.25 × 176,378.25
  4. Step 4: Simplify right side
    120,465.75x = 31,109,287,073.06
  5. Step 5: Solve for x
    x = 31,109,287,073.06/120,465.75
  6. Step 6: Final answer
    x = 258,241.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.