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Finding the Third Proportional to 118,197 and 177,417

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Solution

The third proportional to 118,197 and 177,417 is: 266,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,197 : 177,417 = 177,417 : x
  2. Step 2: Convert to fraction form
    118,197/177,417 = 177,417/x
  3. Step 3: Cross multiply
    118,197x = 177,417 × 177,417
  4. Step 4: Simplify right side
    118,197x = 31,476,791,889
  5. Step 5: Solve for x
    x = 31,476,791,889/118,197
  6. Step 6: Final answer
    x = 266,307.87

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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.