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Finding the Third Proportional to 183,678 and 402,562

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Solution

The third proportional to 183,678 and 402,562 is: 882,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,678 : 402,562 = 402,562 : x
  2. Step 2: Convert to fraction form
    183,678/402,562 = 402,562/x
  3. Step 3: Cross multiply
    183,678x = 402,562 × 402,562
  4. Step 4: Simplify right side
    183,678x = 162,056,163,844
  5. Step 5: Solve for x
    x = 162,056,163,844/183,678
  6. Step 6: Final answer
    x = 882,284.02

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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.