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Finding the Third Proportional to 176,127.75 and 235,939.50

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Solution

The third proportional to 176,127.75 and 235,939.50 is: 316,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,127.75 : 235,939.50 = 235,939.50 : x
  2. Step 2: Convert to fraction form
    176,127.75/235,939.50 = 235,939.50/x
  3. Step 3: Cross multiply
    176,127.75x = 235,939.50 × 235,939.50
  4. Step 4: Simplify right side
    176,127.75x = 55,667,447,660.25
  5. Step 5: Solve for x
    x = 55,667,447,660.25/176,127.75
  6. Step 6: Final answer
    x = 316,062.90

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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.