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Finding the Third Proportional to 184,234 and 382,316

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Solution

The third proportional to 184,234 and 382,316 is: 793,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,234 : 382,316 = 382,316 : x
  2. Step 2: Convert to fraction form
    184,234/382,316 = 382,316/x
  3. Step 3: Cross multiply
    184,234x = 382,316 × 382,316
  4. Step 4: Simplify right side
    184,234x = 146,165,523,856
  5. Step 5: Solve for x
    x = 146,165,523,856/184,234
  6. Step 6: Final answer
    x = 793,368.89

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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.