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Finding the Third Proportional to 116,188 and 254,490

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Solution

The third proportional to 116,188 and 254,490 is: 557,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188 : 254,490 = 254,490 : x
  2. Step 2: Convert to fraction form
    116,188/254,490 = 254,490/x
  3. Step 3: Cross multiply
    116,188x = 254,490 × 254,490
  4. Step 4: Simplify right side
    116,188x = 64,765,160,100
  5. Step 5: Solve for x
    x = 64,765,160,100/116,188
  6. Step 6: Final answer
    x = 557,416.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.