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Finding the Third Proportional to 159,089.06 and 334,540.13

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Solution

The third proportional to 159,089.06 and 334,540.13 is: 703,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089.06 : 334,540.13 = 334,540.13 : x
  2. Step 2: Convert to fraction form
    159,089.06/334,540.13 = 334,540.13/x
  3. Step 3: Cross multiply
    159,089.06x = 334,540.13 × 334,540.13
  4. Step 4: Simplify right side
    159,089.06x = 111,917,095,235.02
  5. Step 5: Solve for x
    x = 111,917,095,235.02/159,089.06
  6. Step 6: Final answer
    x = 703,487.05

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Why These Related Problems?

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