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Finding the Third Proportional to 118,880 and 176,354

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Solution

The third proportional to 118,880 and 176,354 is: 261,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,880 : 176,354 = 176,354 : x
  2. Step 2: Convert to fraction form
    118,880/176,354 = 176,354/x
  3. Step 3: Cross multiply
    118,880x = 176,354 × 176,354
  4. Step 4: Simplify right side
    118,880x = 31,100,733,316
  5. Step 5: Solve for x
    x = 31,100,733,316/118,880
  6. Step 6: Final answer
    x = 261,614.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.