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Finding the Third Proportional to 145,980.35 and 313,785.14

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Solution

The third proportional to 145,980.35 and 313,785.14 is: 674,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980.35 : 313,785.14 = 313,785.14 : x
  2. Step 2: Convert to fraction form
    145,980.35/313,785.14 = 313,785.14/x
  3. Step 3: Cross multiply
    145,980.35x = 313,785.14 × 313,785.14
  4. Step 4: Simplify right side
    145,980.35x = 98,461,114,477.05
  5. Step 5: Solve for x
    x = 98,461,114,477.05/145,980.35
  6. Step 6: Final answer
    x = 674,481.97

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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.