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Finding the Third Proportional to 139,560 and 329,124

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Solution

The third proportional to 139,560 and 329,124 is: 776,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,560 : 329,124 = 329,124 : x
  2. Step 2: Convert to fraction form
    139,560/329,124 = 329,124/x
  3. Step 3: Cross multiply
    139,560x = 329,124 × 329,124
  4. Step 4: Simplify right side
    139,560x = 108,322,607,376
  5. Step 5: Solve for x
    x = 108,322,607,376/139,560
  6. Step 6: Final answer
    x = 776,172.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.