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Finding the Third Proportional to 131,187 and 287,592

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Solution

The third proportional to 131,187 and 287,592 is: 630,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,187 : 287,592 = 287,592 : x
  2. Step 2: Convert to fraction form
    131,187/287,592 = 287,592/x
  3. Step 3: Cross multiply
    131,187x = 287,592 × 287,592
  4. Step 4: Simplify right side
    131,187x = 82,709,158,464
  5. Step 5: Solve for x
    x = 82,709,158,464/131,187
  6. Step 6: Final answer
    x = 630,467.64

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