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Finding the Third Proportional to 131,122 and 287,516

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Solution

The third proportional to 131,122 and 287,516 is: 630,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,122 : 287,516 = 287,516 : x
  2. Step 2: Convert to fraction form
    131,122/287,516 = 287,516/x
  3. Step 3: Cross multiply
    131,122x = 287,516 × 287,516
  4. Step 4: Simplify right side
    131,122x = 82,665,450,256
  5. Step 5: Solve for x
    x = 82,665,450,256/131,122
  6. Step 6: Final answer
    x = 630,446.84

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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.