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Finding the Third Proportional to 131,644.69 and 289,031.63

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Solution

The third proportional to 131,644.69 and 289,031.63 is: 634,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,644.69 : 289,031.63 = 289,031.63 : x
  2. Step 2: Convert to fraction form
    131,644.69/289,031.63 = 289,031.63/x
  3. Step 3: Cross multiply
    131,644.69x = 289,031.63 × 289,031.63
  4. Step 4: Simplify right side
    131,644.69x = 83,539,280,250.14
  5. Step 5: Solve for x
    x = 83,539,280,250.14/131,644.69
  6. Step 6: Final answer
    x = 634,581.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.