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Finding the Third Proportional to 117,845.50 and 254,364.50

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Solution

The third proportional to 117,845.50 and 254,364.50 is: 549,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,845.50 : 254,364.50 = 254,364.50 : x
  2. Step 2: Convert to fraction form
    117,845.50/254,364.50 = 254,364.50/x
  3. Step 3: Cross multiply
    117,845.50x = 254,364.50 × 254,364.50
  4. Step 4: Simplify right side
    117,845.50x = 64,701,298,860.25
  5. Step 5: Solve for x
    x = 64,701,298,860.25/117,845.50
  6. Step 6: Final answer
    x = 549,034.96

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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.