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Finding the Third Proportional to 251,265 and 383,782.50

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Solution

The third proportional to 251,265 and 383,782.50 is: 586,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,265 : 383,782.50 = 383,782.50 : x
  2. Step 2: Convert to fraction form
    251,265/383,782.50 = 383,782.50/x
  3. Step 3: Cross multiply
    251,265x = 383,782.50 × 383,782.50
  4. Step 4: Simplify right side
    251,265x = 147,289,007,306.25
  5. Step 5: Solve for x
    x = 147,289,007,306.25/251,265
  6. Step 6: Final answer
    x = 586,189.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.