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Finding the Third Proportional to 144,574.88 and 313,284.38

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Solution

The third proportional to 144,574.88 and 313,284.38 is: 678,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,574.88 : 313,284.38 = 313,284.38 : x
  2. Step 2: Convert to fraction form
    144,574.88/313,284.38 = 313,284.38/x
  3. Step 3: Cross multiply
    144,574.88x = 313,284.38 × 313,284.38
  4. Step 4: Simplify right side
    144,574.88x = 98,147,099,619.14
  5. Step 5: Solve for x
    x = 98,147,099,619.14/144,574.88
  6. Step 6: Final answer
    x = 678,866.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.