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Finding the Third Proportional to 119,184.75 and 176,715.38

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Solution

The third proportional to 119,184.75 and 176,715.38 is: 262,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,184.75 : 176,715.38 = 176,715.38 : x
  2. Step 2: Convert to fraction form
    119,184.75/176,715.38 = 176,715.38/x
  3. Step 3: Cross multiply
    119,184.75x = 176,715.38 × 176,715.38
  4. Step 4: Simplify right side
    119,184.75x = 31,228,323,761.39
  5. Step 5: Solve for x
    x = 31,228,323,761.39/119,184.75
  6. Step 6: Final answer
    x = 262,016.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.