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Finding the Third Proportional to 166,415 and 364,508

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Solution

The third proportional to 166,415 and 364,508 is: 798,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,415 : 364,508 = 364,508 : x
  2. Step 2: Convert to fraction form
    166,415/364,508 = 364,508/x
  3. Step 3: Cross multiply
    166,415x = 364,508 × 364,508
  4. Step 4: Simplify right side
    166,415x = 132,866,082,064
  5. Step 5: Solve for x
    x = 132,866,082,064/166,415
  6. Step 6: Final answer
    x = 798,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.