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Finding the Third Proportional to 144,363.50 and 297,880.50

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Solution

The third proportional to 144,363.50 and 297,880.50 is: 614,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,363.50 : 297,880.50 = 297,880.50 : x
  2. Step 2: Convert to fraction form
    144,363.50/297,880.50 = 297,880.50/x
  3. Step 3: Cross multiply
    144,363.50x = 297,880.50 × 297,880.50
  4. Step 4: Simplify right side
    144,363.50x = 88,732,792,280.25
  5. Step 5: Solve for x
    x = 88,732,792,280.25/144,363.50
  6. Step 6: Final answer
    x = 614,648.39

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.