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Finding the Third Proportional to 153,261 and 230,104

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Solution

The third proportional to 153,261 and 230,104 is: 345,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,261 : 230,104 = 230,104 : x
  2. Step 2: Convert to fraction form
    153,261/230,104 = 230,104/x
  3. Step 3: Cross multiply
    153,261x = 230,104 × 230,104
  4. Step 4: Simplify right side
    153,261x = 52,947,850,816
  5. Step 5: Solve for x
    x = 52,947,850,816/153,261
  6. Step 6: Final answer
    x = 345,475.04

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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.