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Finding the Third Proportional to 166,970 and 244,461

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Solution

The third proportional to 166,970 and 244,461 is: 357,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,970 : 244,461 = 244,461 : x
  2. Step 2: Convert to fraction form
    166,970/244,461 = 244,461/x
  3. Step 3: Cross multiply
    166,970x = 244,461 × 244,461
  4. Step 4: Simplify right side
    166,970x = 59,761,180,521
  5. Step 5: Solve for x
    x = 59,761,180,521/166,970
  6. Step 6: Final answer
    x = 357,915.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.