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Finding the Third Proportional to 115,156.69 and 176,382.56

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Solution

The third proportional to 115,156.69 and 176,382.56 is: 270,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,156.69 : 176,382.56 = 176,382.56 : x
  2. Step 2: Convert to fraction form
    115,156.69/176,382.56 = 176,382.56/x
  3. Step 3: Cross multiply
    115,156.69x = 176,382.56 × 176,382.56
  4. Step 4: Simplify right side
    115,156.69x = 31,110,808,354.07
  5. Step 5: Solve for x
    x = 31,110,808,354.07/115,156.69
  6. Step 6: Final answer
    x = 270,160.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.