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Finding the Third Proportional to 144,811.13 and 313,746.75

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Solution

The third proportional to 144,811.13 and 313,746.75 is: 679,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,811.13 : 313,746.75 = 313,746.75 : x
  2. Step 2: Convert to fraction form
    144,811.13/313,746.75 = 313,746.75/x
  3. Step 3: Cross multiply
    144,811.13x = 313,746.75 × 313,746.75
  4. Step 4: Simplify right side
    144,811.13x = 98,437,023,135.56
  5. Step 5: Solve for x
    x = 98,437,023,135.56/144,811.13
  6. Step 6: Final answer
    x = 679,761.47

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