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Finding the Third Proportional to 116,530 and 176,369

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Solution

The third proportional to 116,530 and 176,369 is: 266,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,530 : 176,369 = 176,369 : x
  2. Step 2: Convert to fraction form
    116,530/176,369 = 176,369/x
  3. Step 3: Cross multiply
    116,530x = 176,369 × 176,369
  4. Step 4: Simplify right side
    116,530x = 31,106,024,161
  5. Step 5: Solve for x
    x = 31,106,024,161/116,530
  6. Step 6: Final answer
    x = 266,935.76

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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.