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Finding the Third Proportional to 175,202 and 384,314

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Solution

The third proportional to 175,202 and 384,314 is: 843,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,202 : 384,314 = 384,314 : x
  2. Step 2: Convert to fraction form
    175,202/384,314 = 384,314/x
  3. Step 3: Cross multiply
    175,202x = 384,314 × 384,314
  4. Step 4: Simplify right side
    175,202x = 147,697,250,596
  5. Step 5: Solve for x
    x = 147,697,250,596/175,202
  6. Step 6: Final answer
    x = 843,011.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.