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Finding the Third Proportional to 116,436 and 175,332

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Solution

The third proportional to 116,436 and 175,332 is: 264,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,436 : 175,332 = 175,332 : x
  2. Step 2: Convert to fraction form
    116,436/175,332 = 175,332/x
  3. Step 3: Cross multiply
    116,436x = 175,332 × 175,332
  4. Step 4: Simplify right side
    116,436x = 30,741,310,224
  5. Step 5: Solve for x
    x = 30,741,310,224/116,436
  6. Step 6: Final answer
    x = 264,018.95

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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.