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Finding the Third Proportional to 131,834 and 288,652

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Solution

The third proportional to 131,834 and 288,652 is: 632,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,834 : 288,652 = 288,652 : x
  2. Step 2: Convert to fraction form
    131,834/288,652 = 288,652/x
  3. Step 3: Cross multiply
    131,834x = 288,652 × 288,652
  4. Step 4: Simplify right side
    131,834x = 83,319,977,104
  5. Step 5: Solve for x
    x = 83,319,977,104/131,834
  6. Step 6: Final answer
    x = 632,006.74

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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.