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Finding the Third Proportional to 249,015.75 and 345,843.75

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Solution

The third proportional to 249,015.75 and 345,843.75 is: 480,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,015.75 : 345,843.75 = 345,843.75 : x
  2. Step 2: Convert to fraction form
    249,015.75/345,843.75 = 345,843.75/x
  3. Step 3: Cross multiply
    249,015.75x = 345,843.75 × 345,843.75
  4. Step 4: Simplify right side
    249,015.75x = 119,607,899,414.06
  5. Step 5: Solve for x
    x = 119,607,899,414.06/249,015.75
  6. Step 6: Final answer
    x = 480,322.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.