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Finding the Third Proportional to 155,280 and 329,024

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Solution

The third proportional to 155,280 and 329,024 is: 697,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,280 : 329,024 = 329,024 : x
  2. Step 2: Convert to fraction form
    155,280/329,024 = 329,024/x
  3. Step 3: Cross multiply
    155,280x = 329,024 × 329,024
  4. Step 4: Simplify right side
    155,280x = 108,256,792,576
  5. Step 5: Solve for x
    x = 108,256,792,576/155,280
  6. Step 6: Final answer
    x = 697,171.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.