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Finding the Third Proportional to 159,080.81 and 343,069.13

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Solution

The third proportional to 159,080.81 and 343,069.13 is: 739,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,080.81 : 343,069.13 = 343,069.13 : x
  2. Step 2: Convert to fraction form
    159,080.81/343,069.13 = 343,069.13/x
  3. Step 3: Cross multiply
    159,080.81x = 343,069.13 × 343,069.13
  4. Step 4: Simplify right side
    159,080.81x = 117,696,424,528.27
  5. Step 5: Solve for x
    x = 117,696,424,528.27/159,080.81
  6. Step 6: Final answer
    x = 739,853.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.