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Finding the Third Proportional to 131,466.66 and 287,947.41

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Solution

The third proportional to 131,466.66 and 287,947.41 is: 630,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,466.66 : 287,947.41 = 287,947.41 : x
  2. Step 2: Convert to fraction form
    131,466.66/287,947.41 = 287,947.41/x
  3. Step 3: Cross multiply
    131,466.66x = 287,947.41 × 287,947.41
  4. Step 4: Simplify right side
    131,466.66x = 82,913,708,766.10
  5. Step 5: Solve for x
    x = 82,913,708,766.10/131,466.66
  6. Step 6: Final answer
    x = 630,682.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.