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Finding the Third Proportional to 145,992.38 and 313,804.13

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Solution

The third proportional to 145,992.38 and 313,804.13 is: 674,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,992.38 : 313,804.13 = 313,804.13 : x
  2. Step 2: Convert to fraction form
    145,992.38/313,804.13 = 313,804.13/x
  3. Step 3: Cross multiply
    145,992.38x = 313,804.13 × 313,804.13
  4. Step 4: Simplify right side
    145,992.38x = 98,473,028,867.02
  5. Step 5: Solve for x
    x = 98,473,028,867.02/145,992.38
  6. Step 6: Final answer
    x = 674,508.03

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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.