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Finding the Third Proportional to 176,372 and 266,148

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Solution

The third proportional to 176,372 and 266,148 is: 401,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,372 : 266,148 = 266,148 : x
  2. Step 2: Convert to fraction form
    176,372/266,148 = 266,148/x
  3. Step 3: Cross multiply
    176,372x = 266,148 × 266,148
  4. Step 4: Simplify right side
    176,372x = 70,834,757,904
  5. Step 5: Solve for x
    x = 70,834,757,904/176,372
  6. Step 6: Final answer
    x = 401,621.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.