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Finding the Third Proportional to 166,872.66 and 265,316.13

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Solution

The third proportional to 166,872.66 and 265,316.13 is: 421,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,872.66 : 265,316.13 = 265,316.13 : x
  2. Step 2: Convert to fraction form
    166,872.66/265,316.13 = 265,316.13/x
  3. Step 3: Cross multiply
    166,872.66x = 265,316.13 × 265,316.13
  4. Step 4: Simplify right side
    166,872.66x = 70,392,650,330.58
  5. Step 5: Solve for x
    x = 70,392,650,330.58/166,872.66
  6. Step 6: Final answer
    x = 421,834.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.