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Finding the Third Proportional to 166,294 and 253,594

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Solution

The third proportional to 166,294 and 253,594 is: 386,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,294 : 253,594 = 253,594 : x
  2. Step 2: Convert to fraction form
    166,294/253,594 = 253,594/x
  3. Step 3: Cross multiply
    166,294x = 253,594 × 253,594
  4. Step 4: Simplify right side
    166,294x = 64,309,916,836
  5. Step 5: Solve for x
    x = 64,309,916,836/166,294
  6. Step 6: Final answer
    x = 386,724.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.