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Finding the Third Proportional to 118,216 and 177,442

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Solution

The third proportional to 118,216 and 177,442 is: 266,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,216 : 177,442 = 177,442 : x
  2. Step 2: Convert to fraction form
    118,216/177,442 = 177,442/x
  3. Step 3: Cross multiply
    118,216x = 177,442 × 177,442
  4. Step 4: Simplify right side
    118,216x = 31,485,663,364
  5. Step 5: Solve for x
    x = 31,485,663,364/118,216
  6. Step 6: Final answer
    x = 266,340.12

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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.