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Finding the Third Proportional to 159,934.75 and 344,655

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Solution

The third proportional to 159,934.75 and 344,655 is: 742,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,934.75 : 344,655 = 344,655 : x
  2. Step 2: Convert to fraction form
    159,934.75/344,655 = 344,655/x
  3. Step 3: Cross multiply
    159,934.75x = 344,655 × 344,655
  4. Step 4: Simplify right side
    159,934.75x = 118,787,069,025
  5. Step 5: Solve for x
    x = 118,787,069,025/159,934.75
  6. Step 6: Final answer
    x = 742,722.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.