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Finding the Third Proportional to 159,089.06 and 343,090.69

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Solution

The third proportional to 159,089.06 and 343,090.69 is: 739,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089.06 : 343,090.69 = 343,090.69 : x
  2. Step 2: Convert to fraction form
    159,089.06/343,090.69 = 343,090.69/x
  3. Step 3: Cross multiply
    159,089.06x = 343,090.69 × 343,090.69
  4. Step 4: Simplify right side
    159,089.06x = 117,711,219,849.22
  5. Step 5: Solve for x
    x = 117,711,219,849.22/159,089.06
  6. Step 6: Final answer
    x = 739,907.68

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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.