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Finding the Third Proportional to 153,912 and 231,314

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Solution

The third proportional to 153,912 and 231,314 is: 347,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,912 : 231,314 = 231,314 : x
  2. Step 2: Convert to fraction form
    153,912/231,314 = 231,314/x
  3. Step 3: Cross multiply
    153,912x = 231,314 × 231,314
  4. Step 4: Simplify right side
    153,912x = 53,506,166,596
  5. Step 5: Solve for x
    x = 53,506,166,596/153,912
  6. Step 6: Final answer
    x = 347,641.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.