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Finding the Third Proportional to 132,319.41 and 281,707.03

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Solution

The third proportional to 132,319.41 and 281,707.03 is: 599,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,319.41 : 281,707.03 = 281,707.03 : x
  2. Step 2: Convert to fraction form
    132,319.41/281,707.03 = 281,707.03/x
  3. Step 3: Cross multiply
    132,319.41x = 281,707.03 × 281,707.03
  4. Step 4: Simplify right side
    132,319.41x = 79,358,851,455.69
  5. Step 5: Solve for x
    x = 79,358,851,455.69/132,319.41
  6. Step 6: Final answer
    x = 599,752.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.