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Finding the Third Proportional to 140,400.84 and 312,410.67

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Solution

The third proportional to 140,400.84 and 312,410.67 is: 695,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,400.84 : 312,410.67 = 312,410.67 : x
  2. Step 2: Convert to fraction form
    140,400.84/312,410.67 = 312,410.67/x
  3. Step 3: Cross multiply
    140,400.84x = 312,410.67 × 312,410.67
  4. Step 4: Simplify right side
    140,400.84x = 97,600,427,901.39
  5. Step 5: Solve for x
    x = 97,600,427,901.39/140,400.84
  6. Step 6: Final answer
    x = 695,155.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.