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Finding the Third Proportional to 118,174.50 and 176,838.75

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Solution

The third proportional to 118,174.50 and 176,838.75 is: 264,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,174.50 : 176,838.75 = 176,838.75 : x
  2. Step 2: Convert to fraction form
    118,174.50/176,838.75 = 176,838.75/x
  3. Step 3: Cross multiply
    118,174.50x = 176,838.75 × 176,838.75
  4. Step 4: Simplify right side
    118,174.50x = 31,271,943,501.56
  5. Step 5: Solve for x
    x = 31,271,943,501.56/118,174.50
  6. Step 6: Final answer
    x = 264,625.14

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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.