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Finding the Third Proportional to 184,461.75 and 282,045.38

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Solution

The third proportional to 184,461.75 and 282,045.38 is: 431,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,461.75 : 282,045.38 = 282,045.38 : x
  2. Step 2: Convert to fraction form
    184,461.75/282,045.38 = 282,045.38/x
  3. Step 3: Cross multiply
    184,461.75x = 282,045.38 × 282,045.38
  4. Step 4: Simplify right side
    184,461.75x = 79,549,593,558.89
  5. Step 5: Solve for x
    x = 79,549,593,558.89/184,461.75
  6. Step 6: Final answer
    x = 431,252.51

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Why These Related Problems?

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