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Finding the Third Proportional to 159,816 and 344,540.25

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Solution

The third proportional to 159,816 and 344,540.25 is: 742,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,816 : 344,540.25 = 344,540.25 : x
  2. Step 2: Convert to fraction form
    159,816/344,540.25 = 344,540.25/x
  3. Step 3: Cross multiply
    159,816x = 344,540.25 × 344,540.25
  4. Step 4: Simplify right side
    159,816x = 118,707,983,870.06
  5. Step 5: Solve for x
    x = 118,707,983,870.06/159,816
  6. Step 6: Final answer
    x = 742,779.10

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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.