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Finding the Third Proportional to 187,840 and 384,316

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Solution

The third proportional to 187,840 and 384,316 is: 786,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,840 : 384,316 = 384,316 : x
  2. Step 2: Convert to fraction form
    187,840/384,316 = 384,316/x
  3. Step 3: Cross multiply
    187,840x = 384,316 × 384,316
  4. Step 4: Simplify right side
    187,840x = 147,698,787,856
  5. Step 5: Solve for x
    x = 147,698,787,856/187,840
  6. Step 6: Final answer
    x = 786,301.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.