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Finding the Third Proportional to 155,048 and 334,880

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Solution

The third proportional to 155,048 and 334,880 is: 723,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,048 : 334,880 = 334,880 : x
  2. Step 2: Convert to fraction form
    155,048/334,880 = 334,880/x
  3. Step 3: Cross multiply
    155,048x = 334,880 × 334,880
  4. Step 4: Simplify right side
    155,048x = 112,144,614,400
  5. Step 5: Solve for x
    x = 112,144,614,400/155,048
  6. Step 6: Final answer
    x = 723,289.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.