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Finding the Third Proportional to 175,185 and 384,282

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Solution

The third proportional to 175,185 and 384,282 is: 842,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,185 : 384,282 = 384,282 : x
  2. Step 2: Convert to fraction form
    175,185/384,282 = 384,282/x
  3. Step 3: Cross multiply
    175,185x = 384,282 × 384,282
  4. Step 4: Simplify right side
    175,185x = 147,672,655,524
  5. Step 5: Solve for x
    x = 147,672,655,524/175,185
  6. Step 6: Final answer
    x = 842,952.62

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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.