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Finding the Third Proportional to 184,226 and 292,948

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Solution

The third proportional to 184,226 and 292,948 is: 465,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,226 : 292,948 = 292,948 : x
  2. Step 2: Convert to fraction form
    184,226/292,948 = 292,948/x
  3. Step 3: Cross multiply
    184,226x = 292,948 × 292,948
  4. Step 4: Simplify right side
    184,226x = 85,818,530,704
  5. Step 5: Solve for x
    x = 85,818,530,704/184,226
  6. Step 6: Final answer
    x = 465,832.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.