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Finding the Third Proportional to 145,158.38 and 313,671.38

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Solution

The third proportional to 145,158.38 and 313,671.38 is: 677,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158.38 : 313,671.38 = 313,671.38 : x
  2. Step 2: Convert to fraction form
    145,158.38/313,671.38 = 313,671.38/x
  3. Step 3: Cross multiply
    145,158.38x = 313,671.38 × 313,671.38
  4. Step 4: Simplify right side
    145,158.38x = 98,389,731,494.39
  5. Step 5: Solve for x
    x = 98,389,731,494.39/145,158.38
  6. Step 6: Final answer
    x = 677,809.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.