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Finding the Third Proportional to 176,125.50 and 235,935

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Solution

The third proportional to 176,125.50 and 235,935 is: 316,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,125.50 : 235,935 = 235,935 : x
  2. Step 2: Convert to fraction form
    176,125.50/235,935 = 235,935/x
  3. Step 3: Cross multiply
    176,125.50x = 235,935 × 235,935
  4. Step 4: Simplify right side
    176,125.50x = 55,665,324,225
  5. Step 5: Solve for x
    x = 55,665,324,225/176,125.50
  6. Step 6: Final answer
    x = 316,054.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.