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Finding the Third Proportional to 160,177.50 and 217,201.50

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Solution

The third proportional to 160,177.50 and 217,201.50 is: 294,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,177.50 : 217,201.50 = 217,201.50 : x
  2. Step 2: Convert to fraction form
    160,177.50/217,201.50 = 217,201.50/x
  3. Step 3: Cross multiply
    160,177.50x = 217,201.50 × 217,201.50
  4. Step 4: Simplify right side
    160,177.50x = 47,176,491,602.25
  5. Step 5: Solve for x
    x = 47,176,491,602.25/160,177.50
  6. Step 6: Final answer
    x = 294,526.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.