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Finding the Third Proportional to 168,052 and 266,228

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Solution

The third proportional to 168,052 and 266,228 is: 421,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,052 : 266,228 = 266,228 : x
  2. Step 2: Convert to fraction form
    168,052/266,228 = 266,228/x
  3. Step 3: Cross multiply
    168,052x = 266,228 × 266,228
  4. Step 4: Simplify right side
    168,052x = 70,877,347,984
  5. Step 5: Solve for x
    x = 70,877,347,984/168,052
  6. Step 6: Final answer
    x = 421,758.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.