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Finding the Third Proportional to 114,955.50 and 251,295

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Solution

The third proportional to 114,955.50 and 251,295 is: 549,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,955.50 : 251,295 = 251,295 : x
  2. Step 2: Convert to fraction form
    114,955.50/251,295 = 251,295/x
  3. Step 3: Cross multiply
    114,955.50x = 251,295 × 251,295
  4. Step 4: Simplify right side
    114,955.50x = 63,149,177,025
  5. Step 5: Solve for x
    x = 63,149,177,025/114,955.50
  6. Step 6: Final answer
    x = 549,335.85

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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.