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Finding the Third Proportional to 144,886.50 and 230,541.75

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Solution

The third proportional to 144,886.50 and 230,541.75 is: 366,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,886.50 : 230,541.75 = 230,541.75 : x
  2. Step 2: Convert to fraction form
    144,886.50/230,541.75 = 230,541.75/x
  3. Step 3: Cross multiply
    144,886.50x = 230,541.75 × 230,541.75
  4. Step 4: Simplify right side
    144,886.50x = 53,149,498,493.06
  5. Step 5: Solve for x
    x = 53,149,498,493.06/144,886.50
  6. Step 6: Final answer
    x = 366,835.41

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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.