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Finding the Third Proportional to 160,579.50 and 230,935.50

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Solution

The third proportional to 160,579.50 and 230,935.50 is: 332,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,579.50 : 230,935.50 = 230,935.50 : x
  2. Step 2: Convert to fraction form
    160,579.50/230,935.50 = 230,935.50/x
  3. Step 3: Cross multiply
    160,579.50x = 230,935.50 × 230,935.50
  4. Step 4: Simplify right side
    160,579.50x = 53,331,205,160.25
  5. Step 5: Solve for x
    x = 53,331,205,160.25/160,579.50
  6. Step 6: Final answer
    x = 332,117.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.