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Finding the Third Proportional to 144,590.06 and 216,033.75

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Solution

The third proportional to 144,590.06 and 216,033.75 is: 322,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,590.06 : 216,033.75 = 216,033.75 : x
  2. Step 2: Convert to fraction form
    144,590.06/216,033.75 = 216,033.75/x
  3. Step 3: Cross multiply
    144,590.06x = 216,033.75 × 216,033.75
  4. Step 4: Simplify right side
    144,590.06x = 46,670,581,139.06
  5. Step 5: Solve for x
    x = 46,670,581,139.06/144,590.06
  6. Step 6: Final answer
    x = 322,778.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.