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Finding the Third Proportional to 313,184.25 and 484,166.25

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Solution

The third proportional to 313,184.25 and 484,166.25 is: 748,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,184.25 : 484,166.25 = 484,166.25 : x
  2. Step 2: Convert to fraction form
    313,184.25/484,166.25 = 484,166.25/x
  3. Step 3: Cross multiply
    313,184.25x = 484,166.25 × 484,166.25
  4. Step 4: Simplify right side
    313,184.25x = 234,416,957,639.06
  5. Step 5: Solve for x
    x = 234,416,957,639.06/313,184.25
  6. Step 6: Final answer
    x = 748,495.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.