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Finding the Third Proportional to 131,512 and 287,892

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Solution

The third proportional to 131,512 and 287,892 is: 630,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,512 : 287,892 = 287,892 : x
  2. Step 2: Convert to fraction form
    131,512/287,892 = 287,892/x
  3. Step 3: Cross multiply
    131,512x = 287,892 × 287,892
  4. Step 4: Simplify right side
    131,512x = 82,881,803,664
  5. Step 5: Solve for x
    x = 82,881,803,664/131,512
  6. Step 6: Final answer
    x = 630,222.36

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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.