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Finding the Third Proportional to 186,300 and 263,358

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Solution

The third proportional to 186,300 and 263,358 is: 372,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,300 : 263,358 = 263,358 : x
  2. Step 2: Convert to fraction form
    186,300/263,358 = 263,358/x
  3. Step 3: Cross multiply
    186,300x = 263,358 × 263,358
  4. Step 4: Simplify right side
    186,300x = 69,357,436,164
  5. Step 5: Solve for x
    x = 69,357,436,164/186,300
  6. Step 6: Final answer
    x = 372,288.98

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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.