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Finding the Third Proportional to 182,009 and 287,796

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Solution

The third proportional to 182,009 and 287,796 is: 455,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,009 : 287,796 = 287,796 : x
  2. Step 2: Convert to fraction form
    182,009/287,796 = 287,796/x
  3. Step 3: Cross multiply
    182,009x = 287,796 × 287,796
  4. Step 4: Simplify right side
    182,009x = 82,826,537,616
  5. Step 5: Solve for x
    x = 82,826,537,616/182,009
  6. Step 6: Final answer
    x = 455,068.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.