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Finding the Third Proportional to 257,148.50 and 526,825

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Solution

The third proportional to 257,148.50 and 526,825 is: 1,079,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,148.50 : 526,825 = 526,825 : x
  2. Step 2: Convert to fraction form
    257,148.50/526,825 = 526,825/x
  3. Step 3: Cross multiply
    257,148.50x = 526,825 × 526,825
  4. Step 4: Simplify right side
    257,148.50x = 277,544,580,625
  5. Step 5: Solve for x
    x = 277,544,580,625/257,148.50
  6. Step 6: Final answer
    x = 1,079,316.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.