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Finding the Third Proportional to 251,895 and 377,686.50

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Solution

The third proportional to 251,895 and 377,686.50 is: 566,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,895 : 377,686.50 = 377,686.50 : x
  2. Step 2: Convert to fraction form
    251,895/377,686.50 = 377,686.50/x
  3. Step 3: Cross multiply
    251,895x = 377,686.50 × 377,686.50
  4. Step 4: Simplify right side
    251,895x = 142,647,092,282.25
  5. Step 5: Solve for x
    x = 142,647,092,282.25/251,895
  6. Step 6: Final answer
    x = 566,295.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.