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Finding the Third Proportional to 182,765 and 286,770

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Solution

The third proportional to 182,765 and 286,770 is: 449,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,765 : 286,770 = 286,770 : x
  2. Step 2: Convert to fraction form
    182,765/286,770 = 286,770/x
  3. Step 3: Cross multiply
    182,765x = 286,770 × 286,770
  4. Step 4: Simplify right side
    182,765x = 82,237,032,900
  5. Step 5: Solve for x
    x = 82,237,032,900/182,765
  6. Step 6: Final answer
    x = 449,960.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.