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Finding the Third Proportional to 144,752.06 and 223,689.09

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Solution

The third proportional to 144,752.06 and 223,689.09 is: 345,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,752.06 : 223,689.09 = 223,689.09 : x
  2. Step 2: Convert to fraction form
    144,752.06/223,689.09 = 223,689.09/x
  3. Step 3: Cross multiply
    144,752.06x = 223,689.09 × 223,689.09
  4. Step 4: Simplify right side
    144,752.06x = 50,036,810,662.70
  5. Step 5: Solve for x
    x = 50,036,810,662.70/144,752.06
  6. Step 6: Final answer
    x = 345,672.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.