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Finding the Third Proportional to 144,592.59 and 216,057.38

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Solution

The third proportional to 144,592.59 and 216,057.38 is: 322,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,592.59 : 216,057.38 = 216,057.38 : x
  2. Step 2: Convert to fraction form
    144,592.59/216,057.38 = 216,057.38/x
  3. Step 3: Cross multiply
    144,592.59x = 216,057.38 × 216,057.38
  4. Step 4: Simplify right side
    144,592.59x = 46,680,789,291.89
  5. Step 5: Solve for x
    x = 46,680,789,291.89/144,592.59
  6. Step 6: Final answer
    x = 322,843.57

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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.