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Finding the Third Proportional to 144,659.25 and 313,102.13

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Solution

The third proportional to 144,659.25 and 313,102.13 is: 677,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,659.25 : 313,102.13 = 313,102.13 : x
  2. Step 2: Convert to fraction form
    144,659.25/313,102.13 = 313,102.13/x
  3. Step 3: Cross multiply
    144,659.25x = 313,102.13 × 313,102.13
  4. Step 4: Simplify right side
    144,659.25x = 98,032,940,679.52
  5. Step 5: Solve for x
    x = 98,032,940,679.52/144,659.25
  6. Step 6: Final answer
    x = 677,681.80

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