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Finding the Third Proportional to 116,027 and 253,358

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Solution

The third proportional to 116,027 and 253,358 is: 553,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,027 : 253,358 = 253,358 : x
  2. Step 2: Convert to fraction form
    116,027/253,358 = 253,358/x
  3. Step 3: Cross multiply
    116,027x = 253,358 × 253,358
  4. Step 4: Simplify right side
    116,027x = 64,190,276,164
  5. Step 5: Solve for x
    x = 64,190,276,164/116,027
  6. Step 6: Final answer
    x = 553,235.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.