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Finding the Third Proportional to 145,845.56 and 313,834.50

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Solution

The third proportional to 145,845.56 and 313,834.50 is: 675,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845.56 : 313,834.50 = 313,834.50 : x
  2. Step 2: Convert to fraction form
    145,845.56/313,834.50 = 313,834.50/x
  3. Step 3: Cross multiply
    145,845.56x = 313,834.50 × 313,834.50
  4. Step 4: Simplify right side
    145,845.56x = 98,492,093,390.25
  5. Step 5: Solve for x
    x = 98,492,093,390.25/145,845.56
  6. Step 6: Final answer
    x = 675,317.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.