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Finding the Third Proportional to 180,956 and 266,028

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Solution

The third proportional to 180,956 and 266,028 is: 391,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956 : 266,028 = 266,028 : x
  2. Step 2: Convert to fraction form
    180,956/266,028 = 266,028/x
  3. Step 3: Cross multiply
    180,956x = 266,028 × 266,028
  4. Step 4: Simplify right side
    180,956x = 70,770,896,784
  5. Step 5: Solve for x
    x = 70,770,896,784/180,956
  6. Step 6: Final answer
    x = 391,094.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.