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Finding the Third Proportional to 186,342 and 263,421

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Solution

The third proportional to 186,342 and 263,421 is: 372,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,342 : 263,421 = 263,421 : x
  2. Step 2: Convert to fraction form
    186,342/263,421 = 263,421/x
  3. Step 3: Cross multiply
    186,342x = 263,421 × 263,421
  4. Step 4: Simplify right side
    186,342x = 69,390,623,241
  5. Step 5: Solve for x
    x = 69,390,623,241/186,342
  6. Step 6: Final answer
    x = 372,383.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.