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Finding the Third Proportional to 185,916 and 407,316

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Solution

The third proportional to 185,916 and 407,316 is: 892,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,916 : 407,316 = 407,316 : x
  2. Step 2: Convert to fraction form
    185,916/407,316 = 407,316/x
  3. Step 3: Cross multiply
    185,916x = 407,316 × 407,316
  4. Step 4: Simplify right side
    185,916x = 165,906,323,856
  5. Step 5: Solve for x
    x = 165,906,323,856/185,916
  6. Step 6: Final answer
    x = 892,372.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.