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Finding the Third Proportional to 140,865.25 and 313,225.75

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Solution

The third proportional to 140,865.25 and 313,225.75 is: 696,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,865.25 : 313,225.75 = 313,225.75 : x
  2. Step 2: Convert to fraction form
    140,865.25/313,225.75 = 313,225.75/x
  3. Step 3: Cross multiply
    140,865.25x = 313,225.75 × 313,225.75
  4. Step 4: Simplify right side
    140,865.25x = 98,110,370,463.06
  5. Step 5: Solve for x
    x = 98,110,370,463.06/140,865.25
  6. Step 6: Final answer
    x = 696,483.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.