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Finding the Third Proportional to 140,834.63 and 313,153.50

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Solution

The third proportional to 140,834.63 and 313,153.50 is: 696,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,834.63 : 313,153.50 = 313,153.50 : x
  2. Step 2: Convert to fraction form
    140,834.63/313,153.50 = 313,153.50/x
  3. Step 3: Cross multiply
    140,834.63x = 313,153.50 × 313,153.50
  4. Step 4: Simplify right side
    140,834.63x = 98,065,114,562.25
  5. Step 5: Solve for x
    x = 98,065,114,562.25/140,834.63
  6. Step 6: Final answer
    x = 696,313.95

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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.