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Finding the Third Proportional to 118,288 and 177,008

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Solution

The third proportional to 118,288 and 177,008 is: 264,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,288 : 177,008 = 177,008 : x
  2. Step 2: Convert to fraction form
    118,288/177,008 = 177,008/x
  3. Step 3: Cross multiply
    118,288x = 177,008 × 177,008
  4. Step 4: Simplify right side
    118,288x = 31,331,832,064
  5. Step 5: Solve for x
    x = 31,331,832,064/118,288
  6. Step 6: Final answer
    x = 264,877.52

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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.