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Finding the Third Proportional to 184,196 and 330,484

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Solution

The third proportional to 184,196 and 330,484 is: 592,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,196 : 330,484 = 330,484 : x
  2. Step 2: Convert to fraction form
    184,196/330,484 = 330,484/x
  3. Step 3: Cross multiply
    184,196x = 330,484 × 330,484
  4. Step 4: Simplify right side
    184,196x = 109,219,674,256
  5. Step 5: Solve for x
    x = 109,219,674,256/184,196
  6. Step 6: Final answer
    x = 592,953.56

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.