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Finding the Third Proportional to 134,394.19 and 281,728.13

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Solution

The third proportional to 134,394.19 and 281,728.13 is: 590,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,394.19 : 281,728.13 = 281,728.13 : x
  2. Step 2: Convert to fraction form
    134,394.19/281,728.13 = 281,728.13/x
  3. Step 3: Cross multiply
    134,394.19x = 281,728.13 × 281,728.13
  4. Step 4: Simplify right side
    134,394.19x = 79,370,736,416.02
  5. Step 5: Solve for x
    x = 79,370,736,416.02/134,394.19
  6. Step 6: Final answer
    x = 590,581.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.