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Finding the Third Proportional to 243,096.19 and 355,299.75

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Solution

The third proportional to 243,096.19 and 355,299.75 is: 519,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,096.19 : 355,299.75 = 355,299.75 : x
  2. Step 2: Convert to fraction form
    243,096.19/355,299.75 = 355,299.75/x
  3. Step 3: Cross multiply
    243,096.19x = 355,299.75 × 355,299.75
  4. Step 4: Simplify right side
    243,096.19x = 126,237,912,350.06
  5. Step 5: Solve for x
    x = 126,237,912,350.06/243,096.19
  6. Step 6: Final answer
    x = 519,292.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.