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Finding the Third Proportional to 153,865.50 and 323,280

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Solution

The third proportional to 153,865.50 and 323,280 is: 679,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,865.50 : 323,280 = 323,280 : x
  2. Step 2: Convert to fraction form
    153,865.50/323,280 = 323,280/x
  3. Step 3: Cross multiply
    153,865.50x = 323,280 × 323,280
  4. Step 4: Simplify right side
    153,865.50x = 104,509,958,400
  5. Step 5: Solve for x
    x = 104,509,958,400/153,865.50
  6. Step 6: Final answer
    x = 679,229.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.