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Finding the Third Proportional to 166,042 and 262,507

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Solution

The third proportional to 166,042 and 262,507 is: 415,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,042 : 262,507 = 262,507 : x
  2. Step 2: Convert to fraction form
    166,042/262,507 = 262,507/x
  3. Step 3: Cross multiply
    166,042x = 262,507 × 262,507
  4. Step 4: Simplify right side
    166,042x = 68,909,925,049
  5. Step 5: Solve for x
    x = 68,909,925,049/166,042
  6. Step 6: Final answer
    x = 415,015.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.