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Finding the Third Proportional to 171,160 and 266,068

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Solution

The third proportional to 171,160 and 266,068 is: 413,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,160 : 266,068 = 266,068 : x
  2. Step 2: Convert to fraction form
    171,160/266,068 = 266,068/x
  3. Step 3: Cross multiply
    171,160x = 266,068 × 266,068
  4. Step 4: Simplify right side
    171,160x = 70,792,180,624
  5. Step 5: Solve for x
    x = 70,792,180,624/171,160
  6. Step 6: Final answer
    x = 413,602.36

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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.