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Finding the Third Proportional to 223,813.13 and 314,578.69

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Solution

The third proportional to 223,813.13 and 314,578.69 is: 442,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813.13 : 314,578.69 = 314,578.69 : x
  2. Step 2: Convert to fraction form
    223,813.13/314,578.69 = 314,578.69/x
  3. Step 3: Cross multiply
    223,813.13x = 314,578.69 × 314,578.69
  4. Step 4: Simplify right side
    223,813.13x = 98,959,750,629.22
  5. Step 5: Solve for x
    x = 98,959,750,629.22/223,813.13
  6. Step 6: Final answer
    x = 442,153.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.