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Finding the Third Proportional to 118,844 and 178,292

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Solution

The third proportional to 118,844 and 178,292 is: 267,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,844 : 178,292 = 178,292 : x
  2. Step 2: Convert to fraction form
    118,844/178,292 = 178,292/x
  3. Step 3: Cross multiply
    118,844x = 178,292 × 178,292
  4. Step 4: Simplify right side
    118,844x = 31,788,037,264
  5. Step 5: Solve for x
    x = 31,788,037,264/118,844
  6. Step 6: Final answer
    x = 267,477.01

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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.