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Finding the Third Proportional to 118,026 and 255,741

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Solution

The third proportional to 118,026 and 255,741 is: 554,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,026 : 255,741 = 255,741 : x
  2. Step 2: Convert to fraction form
    118,026/255,741 = 255,741/x
  3. Step 3: Cross multiply
    118,026x = 255,741 × 255,741
  4. Step 4: Simplify right side
    118,026x = 65,403,459,081
  5. Step 5: Solve for x
    x = 65,403,459,081/118,026
  6. Step 6: Final answer
    x = 554,144.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.