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Finding the Third Proportional to 159,120.42 and 343,152.14

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Solution

The third proportional to 159,120.42 and 343,152.14 is: 740,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,120.42 : 343,152.14 = 343,152.14 : x
  2. Step 2: Convert to fraction form
    159,120.42/343,152.14 = 343,152.14/x
  3. Step 3: Cross multiply
    159,120.42x = 343,152.14 × 343,152.14
  4. Step 4: Simplify right side
    159,120.42x = 117,753,391,615.52
  5. Step 5: Solve for x
    x = 117,753,391,615.52/159,120.42
  6. Step 6: Final answer
    x = 740,026.89

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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.