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Finding the Third Proportional to 160,223.06 and 341,890.88

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Solution

The third proportional to 160,223.06 and 341,890.88 is: 729,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,223.06 : 341,890.88 = 341,890.88 : x
  2. Step 2: Convert to fraction form
    160,223.06/341,890.88 = 341,890.88/x
  3. Step 3: Cross multiply
    160,223.06x = 341,890.88 × 341,890.88
  4. Step 4: Simplify right side
    160,223.06x = 116,889,370,408.27
  5. Step 5: Solve for x
    x = 116,889,370,408.27/160,223.06
  6. Step 6: Final answer
    x = 729,541.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.