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Finding the Third Proportional to 129,606 and 265,669.50

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Solution

The third proportional to 129,606 and 265,669.50 is: 544,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,606 : 265,669.50 = 265,669.50 : x
  2. Step 2: Convert to fraction form
    129,606/265,669.50 = 265,669.50/x
  3. Step 3: Cross multiply
    129,606x = 265,669.50 × 265,669.50
  4. Step 4: Simplify right side
    129,606x = 70,580,283,230.25
  5. Step 5: Solve for x
    x = 70,580,283,230.25/129,606
  6. Step 6: Final answer
    x = 544,575.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.