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Finding the Third Proportional to 183,669 and 402,546

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Solution

The third proportional to 183,669 and 402,546 is: 882,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,669 : 402,546 = 402,546 : x
  2. Step 2: Convert to fraction form
    183,669/402,546 = 402,546/x
  3. Step 3: Cross multiply
    183,669x = 402,546 × 402,546
  4. Step 4: Simplify right side
    183,669x = 162,043,282,116
  5. Step 5: Solve for x
    x = 162,043,282,116/183,669
  6. Step 6: Final answer
    x = 882,257.12

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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.