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Finding the Third Proportional to 183,884 and 272,368

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Solution

The third proportional to 183,884 and 272,368 is: 403,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,884 : 272,368 = 272,368 : x
  2. Step 2: Convert to fraction form
    183,884/272,368 = 272,368/x
  3. Step 3: Cross multiply
    183,884x = 272,368 × 272,368
  4. Step 4: Simplify right side
    183,884x = 74,184,327,424
  5. Step 5: Solve for x
    x = 74,184,327,424/183,884
  6. Step 6: Final answer
    x = 403,430.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.