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Finding the Third Proportional to 183,936 and 403,200

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Solution

The third proportional to 183,936 and 403,200 is: 883,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,936 : 403,200 = 403,200 : x
  2. Step 2: Convert to fraction form
    183,936/403,200 = 403,200/x
  3. Step 3: Cross multiply
    183,936x = 403,200 × 403,200
  4. Step 4: Simplify right side
    183,936x = 162,570,240,000
  5. Step 5: Solve for x
    x = 162,570,240,000/183,936
  6. Step 6: Final answer
    x = 883,841.34

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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.