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Finding the Third Proportional to 131,210 and 287,638

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Solution

The third proportional to 131,210 and 287,638 is: 630,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,210 : 287,638 = 287,638 : x
  2. Step 2: Convert to fraction form
    131,210/287,638 = 287,638/x
  3. Step 3: Cross multiply
    131,210x = 287,638 × 287,638
  4. Step 4: Simplify right side
    131,210x = 82,735,619,044
  5. Step 5: Solve for x
    x = 82,735,619,044/131,210
  6. Step 6: Final answer
    x = 630,558.79

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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.