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Finding the Third Proportional to 184,871.50 and 292,483

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Solution

The third proportional to 184,871.50 and 292,483 is: 462,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,871.50 : 292,483 = 292,483 : x
  2. Step 2: Convert to fraction form
    184,871.50/292,483 = 292,483/x
  3. Step 3: Cross multiply
    184,871.50x = 292,483 × 292,483
  4. Step 4: Simplify right side
    184,871.50x = 85,546,305,289
  5. Step 5: Solve for x
    x = 85,546,305,289/184,871.50
  6. Step 6: Final answer
    x = 462,733.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.