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Finding the Third Proportional to 282,168 and 382,788

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Solution

The third proportional to 282,168 and 382,788 is: 519,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,168 : 382,788 = 382,788 : x
  2. Step 2: Convert to fraction form
    282,168/382,788 = 382,788/x
  3. Step 3: Cross multiply
    282,168x = 382,788 × 382,788
  4. Step 4: Simplify right side
    282,168x = 146,526,652,944
  5. Step 5: Solve for x
    x = 146,526,652,944/282,168
  6. Step 6: Final answer
    x = 519,288.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.