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Finding the Third Proportional to 118,178 and 176,844

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Solution

The third proportional to 118,178 and 176,844 is: 264,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,178 : 176,844 = 176,844 : x
  2. Step 2: Convert to fraction form
    118,178/176,844 = 176,844/x
  3. Step 3: Cross multiply
    118,178x = 176,844 × 176,844
  4. Step 4: Simplify right side
    118,178x = 31,273,800,336
  5. Step 5: Solve for x
    x = 31,273,800,336/118,178
  6. Step 6: Final answer
    x = 264,633.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.