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Finding the Third Proportional to 252,532.75 and 545,125.50

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Solution

The third proportional to 252,532.75 and 545,125.50 is: 1,176,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,532.75 : 545,125.50 = 545,125.50 : x
  2. Step 2: Convert to fraction form
    252,532.75/545,125.50 = 545,125.50/x
  3. Step 3: Cross multiply
    252,532.75x = 545,125.50 × 545,125.50
  4. Step 4: Simplify right side
    252,532.75x = 297,161,810,750.25
  5. Step 5: Solve for x
    x = 297,161,810,750.25/252,532.75
  6. Step 6: Final answer
    x = 1,176,725.83

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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.