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Finding the Third Proportional to 175,356 and 382,302

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Solution

The third proportional to 175,356 and 382,302 is: 833,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,356 : 382,302 = 382,302 : x
  2. Step 2: Convert to fraction form
    175,356/382,302 = 382,302/x
  3. Step 3: Cross multiply
    175,356x = 382,302 × 382,302
  4. Step 4: Simplify right side
    175,356x = 146,154,819,204
  5. Step 5: Solve for x
    x = 146,154,819,204/175,356
  6. Step 6: Final answer
    x = 833,474.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.