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Finding the Third Proportional to 166,274 and 402,533

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Solution

The third proportional to 166,274 and 402,533 is: 974,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,274 : 402,533 = 402,533 : x
  2. Step 2: Convert to fraction form
    166,274/402,533 = 402,533/x
  3. Step 3: Cross multiply
    166,274x = 402,533 × 402,533
  4. Step 4: Simplify right side
    166,274x = 162,032,816,089
  5. Step 5: Solve for x
    x = 162,032,816,089/166,274
  6. Step 6: Final answer
    x = 974,492.80

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.