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Finding the Third Proportional to 183,656 and 402,520

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Solution

The third proportional to 183,656 and 402,520 is: 882,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,656 : 402,520 = 402,520 : x
  2. Step 2: Convert to fraction form
    183,656/402,520 = 402,520/x
  3. Step 3: Cross multiply
    183,656x = 402,520 × 402,520
  4. Step 4: Simplify right side
    183,656x = 162,022,350,400
  5. Step 5: Solve for x
    x = 162,022,350,400/183,656
  6. Step 6: Final answer
    x = 882,205.59

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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.