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Finding the Third Proportional to 183,976 and 403,280

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Solution

The third proportional to 183,976 and 403,280 is: 883,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,976 : 403,280 = 403,280 : x
  2. Step 2: Convert to fraction form
    183,976/403,280 = 403,280/x
  3. Step 3: Cross multiply
    183,976x = 403,280 × 403,280
  4. Step 4: Simplify right side
    183,976x = 162,634,758,400
  5. Step 5: Solve for x
    x = 162,634,758,400/183,976
  6. Step 6: Final answer
    x = 883,999.86

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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.