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Finding the Third Proportional to 251,037 and 542,863.50

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Solution

The third proportional to 251,037 and 542,863.50 is: 1,173,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,037 : 542,863.50 = 542,863.50 : x
  2. Step 2: Convert to fraction form
    251,037/542,863.50 = 542,863.50/x
  3. Step 3: Cross multiply
    251,037x = 542,863.50 × 542,863.50
  4. Step 4: Simplify right side
    251,037x = 294,700,779,632.25
  5. Step 5: Solve for x
    x = 294,700,779,632.25/251,037
  6. Step 6: Final answer
    x = 1,173,933.64

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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.