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Finding the Third Proportional to 118,205 and 177,308

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Solution

The third proportional to 118,205 and 177,308 is: 265,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,205 : 177,308 = 177,308 : x
  2. Step 2: Convert to fraction form
    118,205/177,308 = 177,308/x
  3. Step 3: Cross multiply
    118,205x = 177,308 × 177,308
  4. Step 4: Simplify right side
    118,205x = 31,438,126,864
  5. Step 5: Solve for x
    x = 31,438,126,864/118,205
  6. Step 6: Final answer
    x = 265,962.75

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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.