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Finding the Third Proportional to 118,338 and 177,564

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Solution

The third proportional to 118,338 and 177,564 is: 266,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,338 : 177,564 = 177,564 : x
  2. Step 2: Convert to fraction form
    118,338/177,564 = 177,564/x
  3. Step 3: Cross multiply
    118,338x = 177,564 × 177,564
  4. Step 4: Simplify right side
    118,338x = 31,528,974,096
  5. Step 5: Solve for x
    x = 31,528,974,096/118,338
  6. Step 6: Final answer
    x = 266,431.53

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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.