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Finding the Third Proportional to 184,246 and 382,340

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Solution

The third proportional to 184,246 and 382,340 is: 793,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,246 : 382,340 = 382,340 : x
  2. Step 2: Convert to fraction form
    184,246/382,340 = 382,340/x
  3. Step 3: Cross multiply
    184,246x = 382,340 × 382,340
  4. Step 4: Simplify right side
    184,246x = 146,183,875,600
  5. Step 5: Solve for x
    x = 146,183,875,600/184,246
  6. Step 6: Final answer
    x = 793,416.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.