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Finding the Third Proportional to 118,944 and 257,486

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Solution

The third proportional to 118,944 and 257,486 is: 557,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,944 : 257,486 = 257,486 : x
  2. Step 2: Convert to fraction form
    118,944/257,486 = 257,486/x
  3. Step 3: Cross multiply
    118,944x = 257,486 × 257,486
  4. Step 4: Simplify right side
    118,944x = 66,299,040,196
  5. Step 5: Solve for x
    x = 66,299,040,196/118,944
  6. Step 6: Final answer
    x = 557,397.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.