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Finding the Third Proportional to 184,221 and 292,943

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Solution

The third proportional to 184,221 and 292,943 is: 465,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,221 : 292,943 = 292,943 : x
  2. Step 2: Convert to fraction form
    184,221/292,943 = 292,943/x
  3. Step 3: Cross multiply
    184,221x = 292,943 × 292,943
  4. Step 4: Simplify right side
    184,221x = 85,815,601,249
  5. Step 5: Solve for x
    x = 85,815,601,249/184,221
  6. Step 6: Final answer
    x = 465,829.64

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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.