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Finding the Third Proportional to 144,440.72 and 322,073.72

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Solution

The third proportional to 144,440.72 and 322,073.72 is: 718,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,440.72 : 322,073.72 = 322,073.72 : x
  2. Step 2: Convert to fraction form
    144,440.72/322,073.72 = 322,073.72/x
  3. Step 3: Cross multiply
    144,440.72x = 322,073.72 × 322,073.72
  4. Step 4: Simplify right side
    144,440.72x = 103,731,480,309.45
  5. Step 5: Solve for x
    x = 103,731,480,309.45/144,440.72
  6. Step 6: Final answer
    x = 718,159.54

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.