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Finding the Third Proportional to 157,069.13 and 234,969.19

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Solution

The third proportional to 157,069.13 and 234,969.19 is: 351,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,069.13 : 234,969.19 = 234,969.19 : x
  2. Step 2: Convert to fraction form
    157,069.13/234,969.19 = 234,969.19/x
  3. Step 3: Cross multiply
    157,069.13x = 234,969.19 × 234,969.19
  4. Step 4: Simplify right side
    157,069.13x = 55,210,519,074.41
  5. Step 5: Solve for x
    x = 55,210,519,074.41/157,069.13
  6. Step 6: Final answer
    x = 351,504.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.