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Finding the Third Proportional to 186,632 and 236,316

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Solution

The third proportional to 186,632 and 236,316 is: 299,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,632 : 236,316 = 236,316 : x
  2. Step 2: Convert to fraction form
    186,632/236,316 = 236,316/x
  3. Step 3: Cross multiply
    186,632x = 236,316 × 236,316
  4. Step 4: Simplify right side
    186,632x = 55,845,251,856
  5. Step 5: Solve for x
    x = 55,845,251,856/186,632
  6. Step 6: Final answer
    x = 299,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.