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Finding the Third Proportional to 144,504.50 and 230,134

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Solution

The third proportional to 144,504.50 and 230,134 is: 366,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,504.50 : 230,134 = 230,134 : x
  2. Step 2: Convert to fraction form
    144,504.50/230,134 = 230,134/x
  3. Step 3: Cross multiply
    144,504.50x = 230,134 × 230,134
  4. Step 4: Simplify right side
    144,504.50x = 52,961,657,956
  5. Step 5: Solve for x
    x = 52,961,657,956/144,504.50
  6. Step 6: Final answer
    x = 366,505.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.