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Finding the Third Proportional to 144,186.75 and 315,522

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Solution

The third proportional to 144,186.75 and 315,522 is: 690,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.75 : 315,522 = 315,522 : x
  2. Step 2: Convert to fraction form
    144,186.75/315,522 = 315,522/x
  3. Step 3: Cross multiply
    144,186.75x = 315,522 × 315,522
  4. Step 4: Simplify right side
    144,186.75x = 99,554,132,484
  5. Step 5: Solve for x
    x = 99,554,132,484/144,186.75
  6. Step 6: Final answer
    x = 690,452.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.