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Finding the Third Proportional to 251,878.50 and 532,185.75

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Solution

The third proportional to 251,878.50 and 532,185.75 is: 1,124,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,878.50 : 532,185.75 = 532,185.75 : x
  2. Step 2: Convert to fraction form
    251,878.50/532,185.75 = 532,185.75/x
  3. Step 3: Cross multiply
    251,878.50x = 532,185.75 × 532,185.75
  4. Step 4: Simplify right side
    251,878.50x = 283,221,672,503.06
  5. Step 5: Solve for x
    x = 283,221,672,503.06/251,878.50
  6. Step 6: Final answer
    x = 1,124,437.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.