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Finding the Third Proportional to 166,146 and 365,507

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Solution

The third proportional to 166,146 and 365,507 is: 804,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,146 : 365,507 = 365,507 : x
  2. Step 2: Convert to fraction form
    166,146/365,507 = 365,507/x
  3. Step 3: Cross multiply
    166,146x = 365,507 × 365,507
  4. Step 4: Simplify right side
    166,146x = 133,595,367,049
  5. Step 5: Solve for x
    x = 133,595,367,049/166,146
  6. Step 6: Final answer
    x = 804,084.16

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Why These Related Problems?

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