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Finding the Third Proportional to 252,775.50 and 550,185

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Solution

The third proportional to 252,775.50 and 550,185 is: 1,197,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,775.50 : 550,185 = 550,185 : x
  2. Step 2: Convert to fraction form
    252,775.50/550,185 = 550,185/x
  3. Step 3: Cross multiply
    252,775.50x = 550,185 × 550,185
  4. Step 4: Simplify right side
    252,775.50x = 302,703,534,225
  5. Step 5: Solve for x
    x = 302,703,534,225/252,775.50
  6. Step 6: Final answer
    x = 1,197,519.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.