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Finding the Third Proportional to 166,178 and 362,432

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Solution

The third proportional to 166,178 and 362,432 is: 790,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,178 : 362,432 = 362,432 : x
  2. Step 2: Convert to fraction form
    166,178/362,432 = 362,432/x
  3. Step 3: Cross multiply
    166,178x = 362,432 × 362,432
  4. Step 4: Simplify right side
    166,178x = 131,356,954,624
  5. Step 5: Solve for x
    x = 131,356,954,624/166,178
  6. Step 6: Final answer
    x = 790,459.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.