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Finding the Third Proportional to 169,830 and 347,033.25

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Solution

The third proportional to 169,830 and 347,033.25 is: 709,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830 : 347,033.25 = 347,033.25 : x
  2. Step 2: Convert to fraction form
    169,830/347,033.25 = 347,033.25/x
  3. Step 3: Cross multiply
    169,830x = 347,033.25 × 347,033.25
  4. Step 4: Simplify right side
    169,830x = 120,432,076,605.56
  5. Step 5: Solve for x
    x = 120,432,076,605.56/169,830
  6. Step 6: Final answer
    x = 709,133.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.