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Finding the Third Proportional to 184,460 and 282,042.75

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Solution

The third proportional to 184,460 and 282,042.75 is: 431,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,460 : 282,042.75 = 282,042.75 : x
  2. Step 2: Convert to fraction form
    184,460/282,042.75 = 282,042.75/x
  3. Step 3: Cross multiply
    184,460x = 282,042.75 × 282,042.75
  4. Step 4: Simplify right side
    184,460x = 79,548,112,827.56
  5. Step 5: Solve for x
    x = 79,548,112,827.56/184,460
  6. Step 6: Final answer
    x = 431,248.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.