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Finding the Third Proportional to 120,904.44 and 284,385.38

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Solution

The third proportional to 120,904.44 and 284,385.38 is: 668,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,904.44 : 284,385.38 = 284,385.38 : x
  2. Step 2: Convert to fraction form
    120,904.44/284,385.38 = 284,385.38/x
  3. Step 3: Cross multiply
    120,904.44x = 284,385.38 × 284,385.38
  4. Step 4: Simplify right side
    120,904.44x = 80,875,041,513.89
  5. Step 5: Solve for x
    x = 80,875,041,513.89/120,904.44
  6. Step 6: Final answer
    x = 668,917.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.