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Finding the Third Proportional to 159,076.13 and 343,059.19

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Solution

The third proportional to 159,076.13 and 343,059.19 is: 739,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,076.13 : 343,059.19 = 343,059.19 : x
  2. Step 2: Convert to fraction form
    159,076.13/343,059.19 = 343,059.19/x
  3. Step 3: Cross multiply
    159,076.13x = 343,059.19 × 343,059.19
  4. Step 4: Simplify right side
    159,076.13x = 117,689,606,128.16
  5. Step 5: Solve for x
    x = 117,689,606,128.16/159,076.13
  6. Step 6: Final answer
    x = 739,831.99

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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.