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Finding the Third Proportional to 171,202 and 266,130

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Solution

The third proportional to 171,202 and 266,130 is: 413,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,202 : 266,130 = 266,130 : x
  2. Step 2: Convert to fraction form
    171,202/266,130 = 266,130/x
  3. Step 3: Cross multiply
    171,202x = 266,130 × 266,130
  4. Step 4: Simplify right side
    171,202x = 70,825,176,900
  5. Step 5: Solve for x
    x = 70,825,176,900/171,202
  6. Step 6: Final answer
    x = 413,693.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.