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Finding the Third Proportional to 144,351 and 207,933.75

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Solution

The third proportional to 144,351 and 207,933.75 is: 299,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351 : 207,933.75 = 207,933.75 : x
  2. Step 2: Convert to fraction form
    144,351/207,933.75 = 207,933.75/x
  3. Step 3: Cross multiply
    144,351x = 207,933.75 × 207,933.75
  4. Step 4: Simplify right side
    144,351x = 43,236,444,389.06
  5. Step 5: Solve for x
    x = 43,236,444,389.06/144,351
  6. Step 6: Final answer
    x = 299,523.00

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.