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Finding the Third Proportional to 131,528 and 213,690

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Solution

The third proportional to 131,528 and 213,690 is: 347,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,528 : 213,690 = 213,690 : x
  2. Step 2: Convert to fraction form
    131,528/213,690 = 213,690/x
  3. Step 3: Cross multiply
    131,528x = 213,690 × 213,690
  4. Step 4: Simplify right side
    131,528x = 45,663,416,100
  5. Step 5: Solve for x
    x = 45,663,416,100/131,528
  6. Step 6: Final answer
    x = 347,176.39

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.