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Finding the Third Proportional to 117,865.50 and 254,559

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Solution

The third proportional to 117,865.50 and 254,559 is: 549,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,865.50 : 254,559 = 254,559 : x
  2. Step 2: Convert to fraction form
    117,865.50/254,559 = 254,559/x
  3. Step 3: Cross multiply
    117,865.50x = 254,559 × 254,559
  4. Step 4: Simplify right side
    117,865.50x = 64,800,284,481
  5. Step 5: Solve for x
    x = 64,800,284,481/117,865.50
  6. Step 6: Final answer
    x = 549,781.61

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Why These Related Problems?

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