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Finding the Third Proportional to 144,118.50 and 230,229

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Solution

The third proportional to 144,118.50 and 230,229 is: 367,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,118.50 : 230,229 = 230,229 : x
  2. Step 2: Convert to fraction form
    144,118.50/230,229 = 230,229/x
  3. Step 3: Cross multiply
    144,118.50x = 230,229 × 230,229
  4. Step 4: Simplify right side
    144,118.50x = 53,005,392,441
  5. Step 5: Solve for x
    x = 53,005,392,441/144,118.50
  6. Step 6: Final answer
    x = 367,790.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.