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Finding the Third Proportional to 118,191 and 177,407.63

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Solution

The third proportional to 118,191 and 177,407.63 is: 266,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,191 : 177,407.63 = 177,407.63 : x
  2. Step 2: Convert to fraction form
    118,191/177,407.63 = 177,407.63/x
  3. Step 3: Cross multiply
    118,191x = 177,407.63 × 177,407.63
  4. Step 4: Simplify right side
    118,191x = 31,473,465,408.14
  5. Step 5: Solve for x
    x = 31,473,465,408.14/118,191
  6. Step 6: Final answer
    x = 266,293.25

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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.