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Finding the Third Proportional to 118,206 and 177,429

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Solution

The third proportional to 118,206 and 177,429 is: 266,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,206 : 177,429 = 177,429 : x
  2. Step 2: Convert to fraction form
    118,206/177,429 = 177,429/x
  3. Step 3: Cross multiply
    118,206x = 177,429 × 177,429
  4. Step 4: Simplify right side
    118,206x = 31,481,050,041
  5. Step 5: Solve for x
    x = 31,481,050,041/118,206
  6. Step 6: Final answer
    x = 266,323.62

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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.