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Finding the Third Proportional to 118,252 and 254,000

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Solution

The third proportional to 118,252 and 254,000 is: 545,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,252 : 254,000 = 254,000 : x
  2. Step 2: Convert to fraction form
    118,252/254,000 = 254,000/x
  3. Step 3: Cross multiply
    118,252x = 254,000 × 254,000
  4. Step 4: Simplify right side
    118,252x = 64,516,000,000
  5. Step 5: Solve for x
    x = 64,516,000,000/118,252
  6. Step 6: Final answer
    x = 545,580.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.